Detailed study of Lindley distribution (1.3) has been done by Ghitany et al. [4] and shown that (1.3) is a better model than exponential distribution for modeling some lifetime data. Recently, Shanker et al. [5] showed that (1.3) is not always a better model than the exponential distribution for modeling lifetime’s data. In fact, Shanker et al. [5] has done a very extensive and comparative stud...

In this paper, the problem of interval estimation is considered for parameters generalized inverted exponential distribution. Based on upper record values, different pivotal quantities are proposed and associated exact confidence intervals constructed unknown model reliability indices, respectively. For comparison purposes, conventional likelihood based approximate also provided by using observ...

In this work, we show how to estimate stress strength (SS) reliability when the (Y) and (X) distributions are generalized exponentials with a common scale parameter. The SS estimator is considered in view of neoteric ranked set sampling (NRSS) median (MRRS). We acquire an (R) such samples random variables gathered using same NRSS technique. Furthermore, derived distribution data pattern MRSS ju...

A Pareto distribution has the property that any tail of the distribution has the same shape as the original distribution. The exponential distribution and the uniform distribution have the tail property too. The tail property characterizes the univariate generalized Pareto distributions. There are three classes of univariate GPDs: Pareto distributions, power laws, and the exponential distributi...

 Minimax estimation problems with restricted parameter space reached increasing interest within the last two decades Some authors derived minimax and admissible estimators of bounded parameters under squared error loss and scale invariant squared error loss In some truncated estimation problems the most natural estimator to be considered is the truncated version of a classic...

We give some characterizations of the exponential distribution based on the distributional properties and the expected values of record values; the index of record values has the geometric distribution.

SEIR epidemiological models with the inclusion of quarantine and isolation are used to study the control and intervention of infectious diseases. A simple ordinary differential equation (ODE) model that assumes exponential distribution for the latent and infectious stages is shown to be inadequate for assessing disease control strategies. By assuming arbitrarily distributed disease stages, a ge...

The detailed study about its mathematical properties, estimation of parameter and application showing the superiority of Lindley distribution over exponential distribution for the waiting times before service of the bank customers has been done by Ghitany et al. [3]. The Lindley distribution has been generalized extended and modified by different researchers including [1,420] are some among oth...

A generalization of the Half Logistic Distribution is developed through exponentiation of its survival function and named the Type II Generalized Half Logistic Distribution (GHLD). The distributional characteristics are presented and estimation of its parameters using maximum likelihood and modified maximum likelihood methods is studied with comparisons. Discrimination between Type II GHLD and ...