Results of many previous studies on the rate of small business failure suggest an inverse relationship between size of business and propensity to fail. However, it has been suggested that this inverse relationship, between firm size and the rate of discontinuance, may more accurately be...

This paper aims to investigate the importance levels of the components in two groundwater remediation systems and examine the impact of each component on the whole system. Four measures are introduced including structural importance (SI), Birnbaum importance (BI), criticality importance (CI),...

Several univariate proportional reversed hazard models have been proposed in the literature. Recently, Kundu and Gupta (2010) proposed a class of bivariate models with proportional reversed hazard marginals. It is observed that the proposed bivariate proportional reversed hazard models have a...

Weibull mixtures have been used extensively in reliability and survival analysis, and they have also been generalized by allowing negative mixing weights, which arise naturally under the formation of some structures of reliability systems. These models provide flexible distributions for modeling...

A new discrete distribution depending on two parameters <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\alpha -1$$</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$\sigma 0$$</EquationSource> </InlineEquation> is obtained by discretizing the generalized normal distribution proposed in García et al. (Comput Stat and Data Anal 54:2021–2034, <CitationRef CitationID="CR6">2010</CitationRef>), which was derived from the normal distribution by using the...</citationref></equationsource></inlineequation></equationsource></inlineequation>

In this paper we study some important aspects of the Kies distribution by deriving expressions for its percentile measures, raw moments, reliability measures etc. The maximum likelihood estimation of the parameters of the distribution have been discussed and the distribution has been fitted to...

In this paper, we study reliability properties in two classes of bivariate continuous distributions based on specification of conditional hazard functions. These classes were constructed by conditioning on two different kinds of events in Arnold and Kim [6]. Several reliability properties are...

Operation and maintenance (O&M) cost will be the key to the economic viability of large offshore wind farms planned worldwide. In order to support investment decisions a systematic mathematical approach to the O&M cost contributions is required prior to detailed engineering or even construction...

We establish the uniform almost complete convergence, with rate, for estimators of both the cumulative hazard and the survival functions when the data are subject to twice censoring. Then, we derive similar convergence results for kernel type estimators of the density and the failure rate.

The main goal of this article is to generalize the bivariate lack-of-memory property introduced in Marshall & Olkin (1967). Several characterizations of bivariate continuous distributions possessing such a property are established and illustrated by examples.