Skip to content
Research Article Open access CC BY 4.0

Bayesian Estimation and Prediction for Exponentiated Generalized Inverted Kumaraswamy Distribution Based on Dual Generalized Order Statistics

A. M. Abd Al-Fattah, R. E. Abd El-Kader, A. A. EL-Helbawy, G. R. AL-Dayian

Journal of Advances in Mathematics and Computer Science · pp. 94–111 · Published 18 Mar 2021

10.9734/jamcs/2021/v36i130334

Abstract

In this paper, the shape parameters, reliability and hazard rate functions of the exponentiated generalized inverted Kumaraswamy distribution are estimated using Bayesian approach. The Bayes estimators are derived under the squared error loss function and the linear-exponential loss function based on dual generalized order statistics. Credible intervals for the parameters, reliability and hazard rate functions are obtained. The Bayesian prediction (point and interval) for a future observation of the exponentiated generalized inverted Kumaraswamy distribution is obtained based on dual generalized order statistics. All results are specialized to lower record values and a numerical study is presented. Moreover, the theoretical results are applied on three real data sets.

Exponentiated generalized distributions Bayesian estimation dual generalized order statistics exponentiated generalized inverted Kumaraswamy distribution

References (13)

  1. 1 Statistical Methods for Survival Data Analysis. [DOI]
  2. 2 The Exponentiated Generalized Class of Distributions [DOI]
  3. 3 The Exponentiated Type Distributions [DOI]
  4. 4 On Quick Choice of Power Transformation [DOI]
  5. 5 The exponentiated Kumaraswamy distribution and its log-transform [DOI]
  6. 6 Dual generalized order statistics
  7. 7 A new distribution with decreasing, increasing and upside-down bathtub failure rate [DOI]
  8. 8 The Marshall-Olkin extended inverted Kumaraswamy distribution: Theory and applications [DOI]
  9. 9 Some Exponentiated Distributions [DOI]
  10. 10 Exponentiated Mukherjee-Islam Distribution [DOI]
  11. 11 Dual generalized order statistics from family of J-shaped distribution and its characterization [DOI]
  12. 12 On Estimation and Prediction for the Inverted Kumaraswamy Distribution Based on General Progressive Censored Samples [DOI]
  13. 13 Statistical Properties and Different Methods of Estimation for Type I Half Logistic Inverted Kumaraswamy Distribution [DOI]

Cited by 1

Bayesian Estimation and Prediction for Exponentiated Inverted Topp-Leone Distribution

Amira E. Albadawy, E. Ashour, A. el-Helbawy · Computational Journal of Mathematical and Statistical Sciences · 2024

Article metrics

Real usage data collected on this platform.

31

Page views

0

PDF downloads

2

Outbound clicks

1

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.