This manuscript focuses on the statistical inference of Kavya–Manoharan generalized exponential distribution under type-I progressive hybrid censoring sample (GTI-PHCS). Different classical approaches estimation, such as maximum likelihood, product spacing, least squares (LS), weighted LS, and percentiles GTI-PHCS, are investigated. Based squared error linear loss functions, Bayes estimates for...

With the rapid development of technology, improving product life performance has become a very important issue in recent decades. The lifetime index is used this research for assessment products following Rayleigh distribution. Based on hypothesis testing procedure with index, using maximum likelihood estimator as statistic, sampling design determined and related values are tabulated practical ...

This paper considers the problem of estimation and inference in semiparametric varying coefficients models when the response variable is subject to random censoring. The paper proposes an estimator based on combining inverse probability censoring weighting and profile least squares estimation. The resulting estimator is shown to be asymptotically normal. The paper proposes three test statistics...

In this paper we compute the expected Fisher information and the asymptotic variance-covariance matrix of the ML estimates based on progressively Type-II censored sample from Weibull distribution by direct calculation as well as the missing information principle. These values are then used to determine the optimal progressive censoring plans. Three optimality criteria are considered and some se...

When comparing the causal effect of peritoneal dialysis (PD) and hemodialysis (HD) treatment on lowering mortality in renal patients, using observational data, it is necessary to adjust for different forms of confounding and informative censoring. Both the type of dialysis treatment that is started with and mortality are affected by baseline covariates. Longitudinal and baseline variables can a...

The aim of this article is two fold. First we discuss the maximum likelihood estimators of the unknown parameters of a two-parameter Birnbaum-Saunders distribution when the data are progressively Type-II censored. The maximum likelihood estimators are obtained using the EM algorithm by exploiting the property that the BirnbaumSaunders distribution can be expressed as an equal mixture of an inve...