University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Probability (P) of equipment failure consequent upon stress exceeding built-in strength has been estimated assuming a bivariate normal stress-strength distribution. The UMVUE of P when parameters other than the means are known has been derived. An alternative estimator based on maximum likelihood estimates has been proposed in the case when all the five parameters are unknown. Asymptotic variances of both these estimators have been worked out. Some relevant numerical computations have also been reported. © 1985.

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Physiology

Microelectronics Reliability

Estimation of failure probability from a bivariate normal stress-strength distribution

Properties of a finite-range failure-time distribution, that includes the exponential as a particular case, have been studied. The distribution is increasing failure rate when the shape parameter exceeds unity, but is average failure rate always. For a given value of the shape parameter, the distribution is new better than used in expectation over a segment of its range. Estimators of parameters have been derived. Distributions of two-component series, parallel, and standby system lives have also been worked out.

Naval research logistics quarterly

FINITE-RANGE DISTRIBUTION OF FAILURE TIMES.

In usual stochastic programming problems involving randomly distributed “resources” and chance constraints, decision variables are taken as deterministic. With the help of simple illustrations involving a single decision variable, Vajda and Greenberg showed that minimum expected values could be made smaller by treating the decision variable as random. This idea has been extended here to the case of two decision variables. The difficulty of finding an optimal mixed strategy in the case of an infinite-range distribution of the decision variable(s) has also been shown. © 1980 Operational Research Society Ltd.