Optimum Group Limits for Maximum Likelihood Estimation of the Exponentiated Fréchet Distribution Based on Grouped Data
A. A. Marwa, Hegazy Zaher, E. A. Elsherpieny
Current Journal of Applied Science and Technology · pp. 1464–1480 · Published 27 Sep 2013
10.9734/BJAST/2014/4408Abstract
In many situations, instead of a complete sample, data are available only in grouped form. In this situation the values of individual observations are not known, but the number of observations that fall in each group is only known. Here the model under consideration is the exponentiated Fréchet distribution. The aim of this paper is finding the MLE's for the parameters of the exponentiated Fréchet distribution based on grouped data. The asymptotic variance-covariance matrix has been derived and computed numerically. Optimal group limits in the case unequi-spaced groupings so as to have a maximum asymptotic relative efficiency are worked out.
References (20)
- 1 Theory of Point Estimation [DOI]
- 2 Theory & Methods: Generalized exponential distributions [DOI]
- 3 Extreme Value Distributions: Theory and Applications [DOI]
- 4 Exponentiated Exponential Family: An Alternative to Gamma and Weibull Distributions [DOI]
- 5 Generalized exponential distribution: Existing results and some recent developments [DOI]
- 6 The Exponentiated Type Distributions [DOI]
- 7 Inference for Reliability and Stress-Strength for a Scaled Burr Type X Distribution [DOI]
- 8 The exponentiated weibull family: some properties and a flood data application [DOI]
- 9 Contributions to the Theory of Estimation from Grouped and Partially Grouped Samples. [DOI]
- 10 On Extension of Some Exponentiated Distributions with Application
- 11 Estimation of the weibull parameters with grouped data [DOI]
- 12 On the Ratio of two Independent Exponentiated Pareto Variables [DOI]
- 13 Parameters Estimators for the Generalized Exponential Distribution
- 14 Statistical estimation for the scale parameter of the gamma distribution based on grouped data [DOI]
- 15 Asymptotically optimal grouping for maximum likelihood estimation of weibull parameters [DOI]
- 16 Parameter estimation of the modified Weibull model based on grouped and censored data
- 17 PARAMETER ESTIMATION BASED ON GROUPED OR CONTINUOUS DATA FOR TRUNCATED EXPONENTIAL DISTRIBUTIONS [DOI]
- 18 Optimum class limits for ml estimation in two-parameter gamma distribution from a grouped data [DOI]
- 19 Optimum group limits for estimation in scaled log-logistic distribution from a grouped data [DOI]
- 20 Estimations on the Minimax Distribution using Grouped Data [DOI]
Cited by 6
Wenhui Zhou, Yanfang Zheng, Alec Morton · China Economic Review · 2018
Wojciech Przystupa, Paweł Kurasiński, Norbert Leszczyński · Symmetry · 2025
Muhammad H. Tahir, Saralees Nadarajah · Anais da Academia Brasileira de Ciências · 2015
Showing 3 of 6 known citations — external sources report more than can currently be individually listed.
Related research
- Modelling Mother-To-Child HIV Transmission Rate in Nigeria Using an Exponentiated Exponential Inverse Exponential Distribution — shares topic coverage
- Statistical Analysis of Mother-to-Child HIV Transmission Rate Using a Weibull-Exponential Inverse Exponential Distribution — shares topic coverage
- An Exponentiated Odd Lindley Inverse Exponential Distribution and its Application to Infant Mortality and HIV Transmission Rates in Nigeria — shares topic coverage
- The (P-A-L) Modified Weibull Distribution — shares topic coverage
- Estimation in Step-stress Partially Accelerated Life Test for Exponentiated Pareto Distribution under Progressive Censoring with Random Removal — shares topic coverage
Article metrics
Real usage data collected on this platform.
46
Page views
0
PDF downloads
9
Outbound clicks
6
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.