In this chapter, we derive some recurrence relations satisfied by single and product
moments of generalized record values arising from Gompertz and inverted Gompertz …

The lifetime performance index plays a crucial role in manufacturing procedures as it
provides valuable insights into the overall quality of a product. Considering the Gompertz …

A family of lifetime distributions is considered. Two measures of reliability are considered, R
(t)= P (X> t) and P= P (X> Y). Point estimation and testing procedures are developed for R (t) …

Two families of distributions are considered that cover a large number of probability
distributions useful in investigations involving reliability studies and survival analyses. The …

Robust Bayesian analysis of the family of lifetime distributions under an ε-contamination
class of prior distributions is considered. Maximum Likelihood-II (ML-II) Bayes estimators of …

The Moore and Bilikam family includes lifetime distributions, hence there is a need for a
meticulous investigation of the proposed family. We evaluate different estimation procedures …

In this paper, we study the k− th upper record values from modified Makeham distribution
and derive some simple recurrence relations satisfied by single and product moments …

We consider two measures of reliability functions namely R (t)= P (X> t) and P= P (X> Y) for
the Moore and Bilikam (1978) family of lifetime distributions which covers fourteen …

A family of distributions is considered, which covers many lifetime distributions as specific
cases. Two measures of reliability are considered, R (t)= P (X> t) and P= P (X> Y). Shrinkage …

The precise investigation of the Moore and Bilikam (MB) family of distributions is essential
since they cover several distributions as special cases. We evaluate different estimation …