A new family of distributions called the mixture exponentiated Kumaraswamy-G (henceforth, in short, ExpKum-G) class is developed. We consider Weibull distribution as baseline (G) to propose and study this special sub-model, which we call Kumaraswamy distribution. Several useful statistical properties proposed ExpKum-G are derived. Under classical paradigm, maximum likelihood estimation under pr...

We investigate an inverse censoring weighted estimator of a survival function when the data are doubly censored but the left censoring is always observed. The estimator reduces to its right censored version when there is no left censoring.

The standard Tobit maximum likelihood estimator under zero censoring threshold produces inconsistent parameter estimates, when the constant censoring threshold γ is nonzero and unknown. Unfortunately, the recording of a zero rather than the actual censoring threshold value is typical of economic data. Non-trivial minimum purchase prices for most goods, fixed cost for doing business or trading, ...

This paper discusses the design of the optimal SSALT plan using Bayesian approach and progressive Type-I right censoring for an exponential life distribution under large sample size and small censoring proportion. The cumulative exposure model and the exponential life distribution in both steps are assumed. The progressive Type-I right censoring can reduce the cost of the test. This reduction, ...

The self-consistent estimator is commonly used for estimating a survival function with interval-censored data. Recent studies on interval censoring have focused on case 2 interval censoring, which does not involve exact observations, and double censoring, which involves only exact, right-censored or left-censored observations. In this paper, we consider an interval censoring scheme that involve...

Progressive Type-II censoring was introduced by Cohen (1963) and has since been the topic of much research. The question stands whether it is sensible to use this sampling plan by design, instead of regular Type-II right censoring. We introduce an asymptotic progressive censoring model, and find optimal censoring schemes for location-scale families. Our optimality criterion is the determinant o...

OBJECTIVES To assess the accuracy and precision of inverse probability weighted (IPW) least squares regression analysis for censored cost data. METHODS By using Surveillance, Epidemiology, and End Results-Medicare, we identified 1500 breast cancer patients who died and had complete cost information within the database. Patients were followed for up to 48 months (partitions) after diagnosis, a...

This paper assumes constant-stress accelerated life tests when the lifespan of test units follows XLindley distribution. In addition to maximum likelihood estimation, Bayesian estimation model parameters is acquired based on progressively Type-II censored samples. The point and interval estimations some reliability indices under normal operating conditions at mission time are derived using both...