On Sample Size Estimation For Lomax Disrtibution
by Abd-Elfattah, A.M. ,Alaboud, F.M. and Alharby ,A.H.
Abstract:
For life testing when the life times of items are continuous
randomvariables, it is important to know
the total number of individuals in the samplewhich is drawn from an assumed
failure model, the total number
of individuals maybe unknown for many causes, either due to the omission in
the records or perhaps because
of physical conditions of the experiment, and then the sample size should be
estimated. The Lomax distribution (Pareto distribution of the second kind)
has, in recent years, assumed a position of importance in
the field of life testing because of its uses to fit business failure data,
Lomax(1954).
In this paper we consider the Lomax distribution as an important model of
lifetime models and will
derive the non-Bayesian and Bayesian estimators of sample size in the case
of type I censored samples
according to Marcus and Blumenthal (1975) approach. Numerical results for
these estimators are presented
in the last section of this work. An iterative procedure is used to obtain
the estimators numerically.
Key Words:
Conditional and Unconditional Maximum Likelhood Estimators;
Bayesian
Estimator; Sample Size; Censored Samples; Lomax Distribution
Authors:
Abd-Elfattah, A.M., a_afattah@hotmail.com
Alaboud, A.M., f_alaboud@hotmail.com
Alharby, A.H., aharbey@yahoo.com
Editor:
Ageel, Mohammed I. A, MIAQEEL@kku.edu.sa
READING THE ARTICLE: You can read the article in
portable document (.pdf) format (60475 bytes.)
NOTE: The content of this article is the intellectual property of the authors, who retains all rights to future publication.
This page has been accessed 502 times since October 5, 2006.
Return to the 
Home Page.