Several models of ordered random variables are discussed in Section 1. In the distribution
theoretical sense, these structures are included in the model of generalized order statistics …

This paper provides an extension for “sequential order statistics”(SOS) introduced by
Kamps. It is called “developed sequential order statistics”(DSOS) and is useful for describing …

This article deals with an extension of sequential order statistics which is useful for
describing system lifetimes with independent but heterogeneous components. Explicit …

In this article, sequential order statistics (SOS) coming from heterogeneous exponential
distributions are considered. Maximum likelihood and Bayesian estimates of parameters are …

A composite dynamic system (CDS) is composed of multiple components. Each component
failure can equally induce higher loading on the surviving components and, hence …

Estimation of model parameters of sequential order statistics under linear and nonlinear link
function assumptions is considered. Utilizing the arising curved exponential family structure …

We consider the progressively Type-II censored competing risks model based on sequential
order statistics. It is assumed that the latent failure times are independent and the failure of …

Considering the impact of the heterogeneous conditions of the mixture baseline distribution
on the parameter estimation of a composite dynamical system (CDS), we propose an …

A multi-sample set-up of sequential order statistics from Weibull distribution functions with
known scale parameters and a common unknown shape parameter is considered. The …

The lifetimes of heterogeneous components from a load-share system can adequately be
represented by the model of Extended Sequential Order Statistics (ESOS). In this thesis, we …