Skip to content
Research Article Open access CC BY 4.0

Comparative Study Based on Simulation of Some Methods of Classical Estimation of the Parameters of Exponentiated Lindley – Logarithmic Distribution

Abuh Musa, Sidney I. Onyeagu, Okechukwu J. Obulezi

Asian Journal of Probability and Statistics · pp. 14–30 · Published 22 May 2023

10.9734/ajpas/2023/v22i4489

Abstract

In this article, some non-bayesian estimation procedures of the Exponentiated Power Lindley-Logarithmic Distribution for modeling real life data are considered. A simulation study is carried out to determine the best among others using the root meas squared error values. Real life data are used to substantiate the result from the simulation study. It was discovered from simulation study and real data that the weighted least squares estimation procedure is the best method for estimating the parameters of the Exponentiated Power Lindley-Logarithmic distribution.

Flexibility survival functions hazard functions estimation

References (26)

  1. 1 On the LambertW function [DOI]
  2. 2 Fiducial Distributions and Bayes' Theorem [DOI]
  3. 3 Exponentiated Weibull family for analyzing bathtub failure-rate data [DOI]
  4. 4 Lindley distribution and its application [DOI]
  5. 5 Modeling failure time data by lehman alternatives [DOI]
  6. 6 Least-squares estimation of distribution functions in johnson's translation system [DOI]
  7. 7 Power Lindley distribution and associated inference [DOI]
  8. 8 The Exponentiated Type Distributions [DOI]
  9. 9 A Class of Random Variables with Discrete Distributions [DOI]
  10. 10 Exponentiated Weibull family for analyzing bathtub failure-rate data [DOI]
  11. 11 Chris-Jerry Distribution and Its Applications [DOI]
  12. 12 Pranav distribution with properties and its applications [DOI]
  13. 13 Sujatha Distribution and its Applications [DOI]
  14. 14 Performance rating of the transmuted exponential distribution: an analytical approach [DOI]
  15. 15 Ishita Distribution and Its Applications [DOI]
  16. 16 The Beta-Dagum Distribution: Definition and Properties [DOI]
  17. 17 Rani Distribution and Its Application [DOI]
  18. 18 A Generalized Power Lindley Distribution with Applications
  19. 19 Inference on the Parameters of Zubair-Exponential Distribution with Application to Survival Times of Guinea Pigs [DOI]
  20. 20 Shukla Distribution and its Application [DOI]
  21. 21 Dagum Distribution: Properties and Different Methods of Estimation [DOI]
  22. 22 The Mc-Dagum Distribution and Its Statistical Properties with Applications
  23. 23 Exponentiated power Lindley–Poisson distribution: Properties and applications [DOI]
  24. 24 An Alternative Approach to AIC and Mallow’s Cp Statistic-Based Relative Influence Measures (RIMS) in Regression Variable Selection [DOI]
  25. 25 Odoma Distribution and Its Application [DOI]
  26. 26 Mathematics and Computers in Simulation

Cited by 15

The Weibull Distribution with Estimable Shift Parameter

Henry Chukwuemeka Onuoha, George A. Osuji, Harrison O. Etaga · Earthline Journal of Mathematical Sciences · 2023

A New Distribution for Modeling both Blood Cancer Data and Median Effective Dose (ED50) of Artemether-Lumefantrine against P. falciparum

Bright Chimezie Nwankwo, Joan Nmesoma Orjiakoh, Mmesoma P. Nwankwo · Earthline Journal of Mathematical Sciences · 2023

Prediction of House Prices in Lagos-Nigeria Using Machine Learning Models

Mmesoma Peace Nwankwo, Ndukaku Macdonald Onyeizu, Emmanuel Chibuogu Asogwa · European Journal of Theoretical and Applied Sciences · 2023

Single Acceptance Sampling Plan Based on Truncated Life Tests for Zubair-Exponential Distribution

Okechukwu J. Obulezi, Chinyere P. Igbokwe, Ifeanyi C. Anabike · Earthline Journal of Mathematical Sciences · 2023

The Double XRAMA Distribution: Theory and Applications

David U. Gideon, Precious O. Ibeakuzie, Divine-Favour N. Ekemezie · Earthline Journal of Mathematical Sciences · 2024

Showing 5 of 15 known citations — external sources report more than can currently be individually listed.

Article metrics

Real usage data collected on this platform.

59

Page views

0

PDF downloads

38

Outbound clicks

15

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.