Skip to content
Research Article Open access CC BY 4.0

A Study on Properties and Applications of a Lomax Gompertz-Makeham Distribution

Innocent Boyle Eraikhuemen, Terna Godfrey Ieren, Tajan Mashingil Mabur, Mohammed Sa’ad, Samson Kuje, Adana’a Felix Chama

Asian Research Journal of Mathematics · pp. 1–27 · Published 6 Nov 2019

10.9734/arjom/2019/v15i430155

Abstract

The article presents an extension of the Gompertz-Makeham distribution using the Lomax generator of probability distributions. This generalization of the Gompertz-Makeham distribution provides a more skewed and flexible compound model called Lomax Gompertz-Makeham distribution. The paper derives and discusses some Mathematical and Statistical properties of the new distribution. The unknown parameters of the new model are estimated via the method of maximum likelihood estimation. In conclusion, the new distribution is applied to two real life datasets together with two other related models to check its flexibility or performance and the results indicate that the proposed extension is more flexible compared to the other two distributions considered in the paper based on the two datasets used.

Gompertz-Makeham distribution Lomax Gompertz-Makeham distribution mathematical & statistical properties order statistics parameter estimation applications.

References (35)

  1. 1 XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &c [DOI]
  2. 2 A new family of generalized distributions [DOI]
  3. 3 Sample Quantiles in Statistical Packages [DOI]
  4. 4 A Quantile Alternative for Kurtosis [DOI]
  5. 5 On families of beta- and generalized gamma-generated distributions and associated inference [DOI]
  6. 6 On the Law of Mortality and the Construction of Annuity Tables [DOI]
  7. 7 Generalized beta-generated distributions [DOI]
  8. 8 The gamma-exponentiated exponential distribution [DOI]
  9. 9 Life Distributions Structure Of Nonparametric Semiparametric And Parametric Families [DOI]
  10. 10 The Weibull-G Family of Probability Distributions [DOI]
  11. 11 Discrimination Between the Log-Normal and the Weibull Distributions [DOI]
  12. 12 Exponentiated $T$-$X$ Family of Distributions with Some Applications [DOI]
  13. 13 The logistic-X family of distributions and its applications [DOI]
  14. 14 Weibull-Pareto Distribution and Its Applications [DOI]
  15. 15 The β -Birnbaum–Saunders distribution: An improved distribution for fatigue life modeling [DOI]
  16. 16 The Gompertz-G family of distributions [DOI]
  17. 17 The Lomax generator of distributions: Properties, minification process and regression model [DOI]
  18. 18 The gamma-normal distribution: Properties and applications [DOI]
  19. 19 The Weibull Fréchet distribution and its applications [DOI]
  20. 20 The Weibull-Exponential Distribution: Its Properties and Applications [DOI]
  21. 21 A NEW WEIBULL-G FAMILY OF DISTRIBUTIONS [DOI]
  22. 22 The Logistic-Uniform Distribution and Its Applications [DOI]
  23. 23 Log-gamma-generated families of distributions [DOI]
  24. 24 Gumbel-Weibull Distribution: Properties and Applications [DOI]
  25. 25 A new generalized Weibull family of distributions: mathematical properties and applications [DOI]
  26. 26 Transmuted Complementary Weibull Geometric Distribution [DOI]
  27. 27 The Lindley Family of Distributions: Properties and Applications [DOI]
  28. 28 Transmuted Kumaraswamy Distribution [DOI]
  29. 29 Does Makeham Make Sense? [DOI]
  30. 30 An extended Gompertz-Makeham distribution with application to lifetime data [DOI]
  31. 31 On the Properties and Applications of Lomax-Exponential Distribution [DOI]
  32. 32 On Kumaraswamy Gompertz Makeham Distribution
  33. 33 ON ORDER STATISTICS FROM THE GOMPERTZ–MAKEHAM DISTRIBUTION AND THE LAMBERT W FUNCTION [DOI]
  34. 34 On Making an Informed Choice between Two Lomax-based Continuous Probability Distributions Using Lifetime Data [DOI]
  35. 35 The gamma-uniform distribution and its applications

Cited by 4

Odd Lindley-Kumaraswamy Distribution: Model, Properties and Application

Kuje Samson, M. Abubakar, Iorkaa Abraham Asongo · 2020

Odd Lomax-Kumaraswamy Distribution: Its Properties and Applications

B. S. Yakura, Ahmed Askira Sule, Mustapha Mohammed Dewu · 2020

Properties and Applications of a Transmuted Power Gompertz Distribution

I. B. Eraikhuemen, Adana’a Felix Chama, Abraham Iorkaa Asongo · 2020

A NEW EXTENSION OF THE LOMAX–GOMPERTZ–MAKEHAM FAMILIES OF C.D.F

A. Malinova, O. Rahneva, T. Terzieva · 2020

Related research

Article metrics

Real usage data collected on this platform.

57

Page views

0

PDF downloads

5

Outbound clicks

4

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.