Closed Form Expressions for the Quantile Function of the Erlang Distribution Used in Engineering Models

Closed Form Expressions for the Quantile Function of the Erlang Distribution Used in Engineering Models

Quantile function is heavily utilized in modeling, simulation, reliability analysis and random number generation. The use is often limited if the inversion method fails to estimate it from the cumulative distribution function (CDF). As a result, approximation becomes the other option. The failure of the inversion method is often due to the intractable nature of the CDF of the distribution....
 
Published at Wireless Personal Communications
Published in 2019
 
 
visit (https://link.springer.com/article/10.1007/s11277-018-6090-x)
 
 
HI Okagbue; MO Adamu; TA Anake
Okagbue Hilary Izuchukwu » Hilary Izuchukwu Okagbue Obtained his B.Tech, M.Sc and Ph.D. degrees in Industrial Mathematics and Statistics from the Federal University of Technology, Owerri, University of Lagos, Covenant University in 2007, 2010 and 2019 respectively. His research interests include Data Analysis, Mathematical Statistics, Mathematical Cryptography and analysis of patterns in number theory. view full profile
Okagbue Hilary Izuchukwu
 
Other publications by this author (view profile)
 
 
A Semi-analytical Method for Solutions of a Certain Class of Ordinary Differential Equations
 
On iterative techniques for numerical solutions of linear and nonlinear differential equations
 
On Numerical Solutions of Systems of Ordinary Differential Equations by Numerical-Analytical Method
 
Using the Average of the Extreme Values of a Triangular Distribution for a Transformation, and Its Approximant via the Continuous Uniform Distribution
 
A Monte Carlo Simulation Approach in Assessing Risk and Uncertainty Involved in Estimating the Expected Earnings of an Organization: A Case Study in Nigeria
 
The Kumaraswamy-Power Distribution: A Generalization of the Power Distribution
 
Numerical Solution of Two-Point Boundary Value Problems via Differential Transform Method
 
Numerical Solutions of Nonlinear Biochemical Model Using a Hybrid Numerical- Analytical Technique
 
A Numerical-Computational Technique for Solving Transformed Cauchy-Euler Equidimensional Equations of Homogeneous Type
 
A Novel Approach For Solving Quadratic Riccati Differential Equations
 
On the Motivations and Challenges Faced by Commuters Using Bus Rapid Transit in Lagos, Nigeria
 
Sequence of Integers Generated by Summing the Digits of their Squares
 
Some Notes on the 3-Factor Analysis of 9x9 Sudoku
 
On the Uniqueness and Non-Commutative Nature of Coefficients of Variables and Interactions in Hierarchical Moderated Multiple Regression of Masked Survey Data
 
On Some Suggested Applications of Sudoku in Information Systems Security
 
Approximate Solution of Multipoint Boundary Value Problems
 
Correspondence Analysis of the Global Epidemiology of Cutaneous and Visceral Leishmaniasis
 
Popularity and Gender Differences in Solving Sudoku Game among Some Sampled Secondary School Students in Lagos, Nigeria
 
On the Use of Some Selected Estimators in the Computation of Interactions in a Moderated Multiple Regression of a Masked Survey Data
 
Solution of Differential Equations by Three Semi-Analytical Techniques
 
The Weibull-Exponential Distribution: Its Properties and Applications
 
Differential Transform Technique for Higher Order Boundary Value Problems
 
Properties of Sequences Generated by Summing the Digits of Cubed Positive Integers
 
Some Methods of Numerical Solutions of Singular System of Transistor Circuits
 
Sequences of numbers obtained by digit and iterative digit sums of Sophie Germain primes and its variants
 
Patterns obtained from digit and iterative digit sums of Palindromic, Repdigit and Repunit numbers, its variants and subsets.
 
Digit And Iterative Digit Sum Of Fibonacci Numbers, Their Identities And Powers
 
BOUNDARY PROPERTIES OF BOUNDED INTERVAL SUPPORT PROBABILITY DISTRIBUTIONS
 
Optimization of Urban Rail Transportation in Emerging Countries Using Operational Research Techniques
 
The U-Quadratic Distribution as a Proxy for a Transformed Triangular Distribution (TTD)
 
Correspondence Analysis for the Trend of Human African Trypanosomiasis
 
Effect of Thermal Radiation on the Entropy Generation of Hydromagnetic Flow Through Porous Channel
 
Random number datasets generated from statistical analysis of randomly sampled GSM recharge cards
 
Statistical Properties and Applications of A New Lindley Exponential Distribution
 
Survey data on factors affecting negotiation of professional fees between Estate Valuers and their clients when the mortgage is financed by bank loan: A case study of mortgage valuations in Ikeja, Lagos State, Nigeria
 
Exploration of solar radiation data from three geo-political zones in Nigeria
 
On Some Notes on the Engel Expansion of Ratios of Sequences Obtained from the Sum of Digits of Squared Positive Integers
 
Positive Numbers Divisible by their Iterative Digit Sum Revisited
 
Survey datasets on the externalizing behaviors of primary school pupils and secondary school students in some selected schools in Ogun State, Nigeria
 
Geostatistical exploration of dataset assessing the heavy metal contamination in Ewekoro limestone, Southwestern Nigeria
 
Comparison Homotopy Perturbation and Adomian Decomposition Techniques for Parabolic Equations
 
Finite Difference Method and Laplace Transform for Boundary Value Problems
 
Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems
 
Irreversibility Analysis of a Radiative MHD Poiseuille Flow through Porous Medium with Slip Condition
 
On the Application of Martingale theory to Investment Strategy
 
Exploration of UK Lotto results classified into two periods
 
Quantitative exploration of factors influencing psychotic disorder ailments in Nigeria
 
Datasets on the statistical and algebraic properties of primitive Pythagorean triples
 
Personal name in Igbo Culture: A dataset on randomly selected personal names and their statistical analysis
 
Breast cancer patients in Nigeria: Data exploration approach
 
Entropy Generation Analysis of Buoyancy Effect on Hydromagnetic Poiseuille Flow with Internal Heat Generation
 
Datasets on the statistical properties of the first 3000 squared positive integers
 
Drying kinetic of industrial cassava flour: Experimental data in view
 
Application of Semi-Analytical Technique for Solving Thirteenth Order Boundary Value Problem
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Fréchet Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Exponentiated Generalized Exponential DistributionH
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Cauchy, Standard Cauchy and Log-Cauchy Distributions
 
On Unique Solution of Quantum Stochastic Differential Inclusions
 
An Investigation of Dynamic Influence to Doctors’ Stress in Government Hospitals in Nigeria Using Logistic Regression Approach
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Burr XII and Pareto Distributions
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Gompertz and Gamma Gompertz Distributions
 
Quantile Approximation of the Chi-square Distribution using the Quantile Mechanics
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of 3-Parameter Weibull Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Exponentiated Fréchet Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Half-Cauchy and Power Cauchy Distributions
 
Solutions of Chi-square Quantile Differential Equation
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Exponential and Truncated Exponential Distributions
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Exponentiated Pareto Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Gumbel Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Half-Normal Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Harris Extended Exponential Distribution
 
Quantitative evaluation of pregnant women delivery status’ records in Akure, Nigeria
 
Data analysis on physical and mechanical properties of cassava pellets
 
Modified Adomian Decomposition Method for Thirteenth Order Boundary Value Problems
 
Ordinary Differential Equations of the Probability Functions of the Weibull Distribution and their Application in Ecology
 
Water quality assessment for groundwater around a municipal waste dumpsite
 
Dataset on statistical analysis of editorial board composition of Hindawi journals indexed in Emerging sources citation index
 
Data exploration on factors that influences construction cost and time performance on construction project sites
 
Data in support of high rate of pregnancy related deaths in Maiduguri, Borno State, Northeast Nigeria
 
Statistical analysis of bank deposits dataset
 
Machine Learning Heuristic for Solving Multi-Mode Resource-Constrained Project Scheduling Problems
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of inverse Rayleigh Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Kumaraswamy Inverse Rayleigh Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Kumaraswamy Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Kumaraswamy Kumaraswamy Distribution
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Levy Distribution
 
Minimization of Failed Roads - A Hybrid Resource-Constrained Project Scheduling Problem
 
Effect of Suction/Injection on the Entropy Generation of Third Grade Fluid with Convective Cooling
 
Statistical data analysis of cancer incidences in insurgency affected states in Nigeria
 
Dataset and analysis of editorial board composition of 165 Hindawi journals indexed and abstracted in PubMed based on affiliations
 
Data on microbial and physicochemical assessment of mixed fruit wine produced from physically damaged fruits
 
Exploration of editorial board composition, Citescore and percentiles of Hindawi journals indexed in Scopus
 
Survey dataset on analysis of queues in some selected banks in Ogun State, Nigeria
 
Hall current and suction/injection effects on the entropy generation of third grade fluid
 
Analysis of selected crime data in Nigeria
 
Hall Current and Joule Heating Effects on Flow of Couple Stress Fluid with Entropy Generation
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Linear Failure Rate and Generalized Linear Failure Rate Distributions
 
Second Law Analysis of Ion Slip Effect on MHD Couple Stress Fluid
 
Statistical analysis of frequencies of opponents׳ eliminations in Royal Rumble wrestling matches
 
Datasets on factors influencing trading on pedestrian bridges along Ikorodu road, Lagos, Nigeria
 
Datasets on factors influencing the urban environmental quality of intra-urban motor parks across density areas of Lagos metropolis
 
Survey datasets on patterns of utilization of mental healthcare services among people living with mental illness
 
Survey data on users perception of flexibility of spaces in selected cultural center in southwest Nigeria
 
Data on the treatment of used lubricating oil from two different sources using solvent extraction and adsorption
 
On the Epidemiology and Statistical Analysis of HIV/AIDS Patients in the Insurgency Affected States of Nigeria
 
Shortest Path Planning Algorithm - A Particle Swarm Optimization (PSO) Approach
 
A Fast Path Planning Algorithm for a Mobile Robot
 
Data on microbial assessment and physicochemical characteristics of sachet water samples obtained from three factories in Ota, Ogun state, Nigeria
 
Survey dataset on the types, prevalence and causes of deviant behavior among secondary school adolescents in some selected schools in Benin City, Edo State, Nigeria
 
Survey dataset on factors that influence satisfaction of clients with architectural services in Lagos State, Nigeria
 
Analysis of the inter-relationship between students’ first year results and their final graduating grades
 
Semi-analytical Methods for Higher Order Boundary Value Problems
 
A Useful Extension of the Inverse Exponential Distribution
 
Data on the awareness and adoption of ICT in town planning firms in Lagos state, Nigeria
 
Analysis of Hall effects on the Entropy Generation of Natural Convection Flow through a Vertical Microchannel
 
Ordinary differential equations of probability functions of convoluted distributions
 
Softcode of Multi-Processing Milne’s Device for Estimating First-Order Ordinary Differential Equations
 
The Gompertz Inverse Exponential (GoIE) distribution with applications
 
Analysis of dataset on editorial board composition of Dove Medical Press by continent
 
The inverted weighted exponential distribution with applications
 
Crude Oil Importation and Exportation in Nigeria: An Exploratory and Comparative Study
 
Research Output Analysis for Universities of Technology in Nigeria
 
Exploration of Research Areas of Universities in Nigeria based on Scopus Subject Document Classification
 
Gumbel Distribution: Ordinary Differential Equations
 
Exponentiated Generalized Exponential Distribution: Ordinary Differential Equations
 
3-Parameter Weibull Distribution: Ordinary Differential Equations
 
Half-Cauchy and Power Cauchy Distributions: Ordinary Differential Equations
 
Half-Normal Distribution: Ordinary Differential Equations
 
Systematic Review of Building Failure and Collapse in Nigeria
 
Convection Flow of MHD Couple Stress Fluid in Vertical Microchannel with Entropy Generation
 
Quantile mechanics: Issues arising from critical review
 
Hall Current and Ion-Slip Effects on the Entropy Generation of Couple Stress Fluid with Velocity Slip and Temperature Jump
 
Laplace Distribution: Ordinary Differential Equations
 
Marshall-Olkin-Nadarajah-Haghighi Distribution: Ordinary Differential Equations
 
Modified Burr III Distribution: Ordinary Differential Equations
 
Modified Weibull Distribution: Ordinary Differential Equations
 
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Logistic and Log-Logistic Distributions
 
One and Two-parameters Lindley Distributions: Ordinary Differential Equations
 
The Logistic Inverse Exponential Distribution: Basic Structural Properties and Application
 
Introducing the Kumaraswamy Perks Distribution
 
The Gompertz Fréchet distribution: Properties and applications
 
Fast and Optimal Path Planning Algorithm (FAOPPA) for a Mobile Robot
 
A New Priority Rule for Solving Project Scheduling Problems
 
Closed Form Expression of the Quantile Function of Maxwell-Boltzmann Distribution
 
Survival Analysis of Cancer Patients in North Eastern Nigeria from 2004 – 2017 – A Kaplan - Meier Method
 
Expanded Trigonometrically Matched Block Variable-Step-Size Technics for Computing Oscillating Vibrations
 
Project scheduling with variable renewable resource limits
 
A study of an extension of the exponential distribution using logistic-x family of distributions
 
Differential Calculus Notes on Wrapped Exponential Distribution
 
Auctioneering in the Practice of Estate Surveyors and Valuers
 
A Study of Noise Pollution Measurements and Possible Effects on Public Health in Ota Metropolis, Nigeria.
 
The Topp–Leone Lomax (TLLo) Distribution with Applications to Airbone Communication Transceiver Dataset
 
Systematic Review of Prevalence of Antepartum Depression during the Trimesters of Pregnancy
 
Learning Analytics: Issues on the Pupil-Teacher Ratio in Public Primary Schools in Nigeria
 
Factors Influencing ICT Adoption in Some Selected Secondary Schools in Ogun State, Nigeria
 
Nature inspired quantile estimates of the Nakagami distribution
 
Hepatitis E Infection in Nigeria: A Systematic Review
 
On New Solutions of Impulsive Quantum Stochastic Differential Inclusion
 
Solutions of Nonclassical Ordinary Differential Equations and the Associated Kurzweil Equations
 
Multiprocessing Suited Pace Size Proficiency for Ciphering First Order ODEs
 
Differential Evolution in Wireless Communications: A Review
 
Determining the level of sexually transmitted diseases (STDs) awareness in Ota, Nigeria
 
Reactive project scheduling: minimizing delays in the completion times of projects
 
Modified CiteScore metric for reducing the effect of self-citations
 
Modified Pricing Model for Negotiation of Mortgage Valuation Between Estate Surveyors and Valuers and Their Clients
 
The Impact of Traffic Gridlock on Values of Residential Properties in Apapa, Lagos Nigeria
 
Curve Estimation Models for Estimation and Prediction of Impact Factor and CiteScore Using the Journal Percentiles: A Case Study of Telecommunication Journals
 
Production of probiotic-fortified composite poultry feed from food and agricultural waste material
 
Significant Predictors of Henley Passport Index
 
Stability of well-posed stochastic evolution equation
 
Entropy generation analysis of Hall current effect on MHD micropolar fluid flow with rotation effect
 
Trends of non-communicable diseases and public health concerns of the people of northeastern Nigeria amidst the Boko Haram insurgency
 
Influence of Facilities on Patronage of the Various Shopping Malls in Ibadan, Nigeria
 
Securing Educational Data Using Agent-Based Blockchain Technology
 
Gender and Age Differences in the Study Plan of University Students
 
Review on the Reliability of Medical Contents on YouTube
 
Statistical analysis of childhood and early adolescent externalizing behaviors in a middle low income country
 
Climate Change Adaptation and Mitigation Strategies in Lagos, Nigeria: Built Environment Professionals’ Perspective
 
Weight Test of Broiler Chicks Placed on Probiotic-fortified Composite Feed, Standard Commercial Starter Mash and Cornmeal
 
Patronage as a Determinant of Rental Values of Shopping Malls: A Case of Ibadan, Nigeria
 
Statistical Analysis of Championship Matches Outcomes in World Wrestling Entertainment (WWE) Pay-Per-View Events
 
Statistical Analysis of Leading Goal Scoring Pattern of Europe’s Top Five Football Leagues
 
Assessment of Street Trading Activities in Public Spaces (Ikorodu Motor Garage), Ikorodu, Lagos
 
Analysis of Percentiles of Computer Science, Theory and Methods Journals CiteScore Versus Impact Factor
 
Smart Review of the Application of Genetic Algorithm in Construction and Housing
 
Digital Economic Challenges and Economic Growth in Environmental Revolution 4.0
 
Impact of Hall Current on the Entropy Generation of Radiative MHD Mixed Convection Casson Fluid
 
Criminal Liability of the Artificial Intelligence
 
Entropy Generation of MHD Poiseuille Flow with Hall and Joule Heating Effects
 
Correlation between the CiteScore and Journal Impact Factor of top-ranked library and information science journals
 
Closed form expression for the inverse cumulative distribution function of Nakagami distribution
 
Literature Review of Areas of Application of Supply Chain Management in Construction Industry
 
Quantile Approximation of the Erlang Distribution using Differential Evolution Algorithm
 
Review on the Application of Artificial Neural Networks in Real Estate Valuation
 
Blockchain Framework for Securing E-Learning System
 
Learning Analytics: Professional Fees Equilibrium and Ethics between Estate Surveyors and Valuers and Clients
 
A Comparative Analysis of Rental Values in Slums and Adjoining Neighbourhoods: The Case of Ijora, Nigeria
 
Entrepreneurial Characteristics of Principal Partners of Architectural Firms in Lagos, Nigeria
 
Authorship and Years Before Retraction of Articles Published in Environmental Science Journals
 
Demographic Characteristics and the Attraction to Facilities in Shopping Malls: A Case of Ibadan, Nigeria
 
Infill Development and its Attendant Consequences on Neighbourhood Property Value: Evidence from Gwarinpa, Abuja, Nigeria
 
Entropy Generation of Unsteady MHD Couette Flow through Vertical Microchannel with Hall and Ion Slip Effects
 
Structural changes in the agricultural microbusiness sector
 
The latest transition of manufacturing agricultural production as a result of a unique generation of human capital in new economic conditions
 
Convergence behavior of solutions of a kind of third order nonlinear differential equations
 
Disparities in document indexation in two databases (Scopus and Web of Science) among six subject domains, and the impact on journal-based metrics
 
Analysis of Stochastic Model of Market Sales Record
 
Diagnosing malaria from some symptoms: a machine learning approach and public health implications
 
Closed-Form Expressions for the Quantile Function of the Chi Square Distribution Using the Hybrid of Quantile Mechanics and Spline Interpolation
 
Demand and Delivery Dichotomy of Residential Properties in Ota, Ogun State, Nigeria
 
Approximations for the inverse cumulative distribution function of the gamma distribution used in wireless communication
 
Principal Directions of Digital Transformation of Higher Education System in Sustainable Education
 
State Digitalzation Policy as a Factor of Sustainable Inclusive Growth and Development of Russian Regions
 
Influence of Inclined Magnetic Field and Chemical Reaction On the Entropy Generation of Blasius and Sakiadis Flows
 
Female life expectancy, maternal mortality, fertility and birth rates of female genital mutilation high prevalence countries
 
Advances on Asymptotic Stability of Impulsive Stochastic Evolution Equations
 
Exploring the relationship between journal indexing and article processing charges of journals published by MDPI, the Multidisciplinary Digital Publishing Institute
 
Factors affecting the study time of first and final year students of a world class university
 
Trends and usage pattern of SPSS and Minitab Software in Scientific research
 
Coronavirus disease 2019 (COVID‐19) and individuals with intellectual and developmental disabilities in Nigeria
 
Viability of residential properties in Ota, Ogun state Nigeria using modified break-even valuation technique
 
Investigating Architecture Students’ use of Passive Design Strategies in Covenant University, Ota, Ogun State, Nigeria.
 
Eliminating of losses in the production process of a machine-building enterprise using lean manufacturing tools
 
Patient-oriented approach in public health as a factor in the formation of a model of healthy behaviour (formation of sports lifestyle, introduction of individual physical activity)
 
A search for appropriate anchor tenants in shopping malls in Lagos metropolis
 
Sustainable Use of Chemical in Agricultural Soils and Implications for Precision Agriculture
 
The Formation of the University Reputation Capital under the Digital Transformation of the Environment
 
Machine learning prediction of breast cancer survival using age, sex, length of stay, mode of diagnosis and location of cancer
 
Distinct clusters of CiteScore and percentiles in top 1000 journals in Scopus
 
Near exact quantile estimates of the beta distribution
 
Predictive rental values model for low-income earners in slums: the case of Ijora, Nigeria