HERE WE PRESENT the likelihood function used to estimate the parameters of the demand model. The model can be thought of as a system of four “standard” equations: (i) a tobit down payment equation (with censoring at the minimum down), (ii) a probit purchase equation, (iii) a tobit repayment equation (with censoring at full payment or at the end of our sample), and (iv) a linear price negotiatio...

The kernel smoothed Nelson–Aalen estimator has been well investigated, but is unsuitable when some of the censoring indicators are missing. A representation introduced by Dikta, however, facilitates hazard estimation when there are missing censoring indicators. In this article, we investigate (i) a kernel smoothed semiparametric hazard estimator and (ii) a kernel smoothed “pre-smoothed” Nelson ...

In this paper, estimations of the parameter and acceleration factor Burr–Hatke exponential distribution in partially accelerated life tests under progressively type II censoring are investigated. By using typical maximum likelihood methods Bayesian method, point obtained. Based on asymptotic normality Delta approximate confidence intervals established Fisher information matrix. The percentile b...

The aim of this study is to investigate different methods estimating the stress-strength reliability parameter, $\theta =P(Y<X)$, when strength (X) and stress (Y) are independent random variables taken from inverse Weibull distribution (IWD), with same shape parameter scale parameters. Based on Adaptive Type-II Hybrid progressive censored samples, we employ classical Bayesian approaches. In ...

The Moore and Bilikam family includes lifetime distributions, hence there is a need for meticulous investigation of the proposed family. We evaluate different estimation procedures both parameters reliability function comprehensively, including maximum likelihood, Bayesian E-Bayesian methods. methods are compared via simulation data, whereas results Burr XII sub-model reported. Based on approac...

A new lifetime distribution, called exponential doubly Poisson is proposed with decreasing, increasing, and upside-down bathtub-shaped hazard rates. One of the reasons for introducing distribution that it can describe failure time a system connected in form parallel-series structure. Some properties are addressed. Four methods estimation involved parameters considered based on progressively typ...

Generalized progressive hybrid censored mechanisms have been proposed to reduce the test duration and save cost spent on testing. This paper considers problem of estimating unknown model parameters reliability time functions new inverted Nadarajah–Haghighi (NH) distribution under generalized Type-II censoring using maximum likelihood Bayesian estimation approaches. Utilizing normal approximatio...