TITLE:
A Class of Truncated Binomial Lifetime Distributions
AUTHORS:
Said Hofan Alkarni
KEYWORDS:
Lifetime Distributions; Decreasing Failure Rate; Binomial Distribution
JOURNAL NAME:
Open Journal of Statistics,
Vol.3 No.5,
October
9,
2013
ABSTRACT: In this paper, a new lifetime class with decreasing failure
rate is introduced by compounding truncated binomial distribution with
any proper continuous lifetime distribution. The properties of
the proposed class are discussed, including a formal proof of its probability
density function, distribution function and explicit algebraic formulae for its
reliability and failure rate functions. A simple EM-type algorithm for
iteratively computing maximum likelihood estimates is presented. The Fisher
information matrix is derived in order to obtain the asymptotic covariance
matrix. This new class of distributions generalizes several distributions which
have been introduced and studied in the literature.