Software Reliability Growth model (SRGM) is a mathematical model of how the software reliability improves as faults are detected and repaired. A large number of software reliability growth models have been proposed to analyze the reliability of software application during the testing phase, with the increasing demand to deliver high-quality software, more accurate software reliability models ar...

In this paper, we derived recurrence relations for joint moment generating functions of nonadjacent generalized order statistics (GOS) of random samples drawn from doubly truncated class of continuous distributions. Recurrence relations for joint moments of nonadjacent GOS (ordinary order statistics (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product moment gene...

Software reliability is the probability that the given software functions correctly under a given environment, during the specified period of time. During the software-testing phase, software reliability is highly related to the amount of development resources spent on detecting and correcting latent software errors, i.e. the amount of testing effort expenditures. This paper develops software r...

Abstract. Generalizing lifetime distributions is always precious for applied statisticians. In this paper, we introduce a new family of distributions by compounding the Burr XII and power series distributions. The compounding procedure follows the key idea by Adamidis and Loukas (1998) or, more generally, by Chahkandi and Ganjali (2009) and Morais and BarretoSouza (2011). The proposed family in...

In this paper, we consider the problem of E-Bayesian estimation and its expected posterior mean squared error (E-PMSE) in a Burr type XII model on basis record values. The Bayesian estimators are computed under different prior distributions for hyperparameters. E-PMSE calculated order to measure estimated risk. Performances compared using Monte Carlo simulation. A real data set is analyzed illu...

In this paper, the well-known proportional hazards model which includes several well-known lifetime distributions such as exponential, Pareto, Lomax, Burr type XII, and so on is considered. With both Bayesian and non-Bayesian approaches , we consider the estimation of parameters of interest based on progressively Type-II right censored samples. The Bayes estimates are obtained based on symmetri...

A new generalization of Burr type XII model is introduced and studied. The genesis the based on family Cordeiro et al. (2016). generalizes at least eight important sub-models. density can be unimodal, symmetric left skewed. Some useful properties related to are derived. Clayton Copula-based construction used generate many bivariate multivariate distributions. Graphically, we performed simulatio...