Theoretical Explanation of Observed Decreasing Failure Rate

By F. Proschan. Technometrics, 2000

689 citations recorded by the source corpus.

Subfields: Environmental Engineering, Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/4a783294681b5853abf3401cc92bcb84a3a0b518

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In Environmental Engineering

In Safety, Risk, Reliability and Quality

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Citations in the corpus

Estimation of reliability from Marshall–Olkin extended Lomax distributions (2010, methodology): “In the following we consider two data sets on the times (in hours) of successive failure intervals of the air conditioning system of two jet planes given by Proschan [21].”
Exponentiated Kumaraswamy-Dagum distribution with applications to income and lifetime data (2014, background): “The first data set consists of the number of successive failures for the air conditioning system of each member in a fleet of 13 Boeing 720 jet airplanes (Proschan 1963).”
A generalization of the exponential-Poisson distribution (2008, background): “Proschan (1963) proved that the decreasing failure rate property is inherent to mixtures of distributions with constant failure rates.”
The inverted Nadarajah–Haghighi distribution: estimation methods and applications (2018, methodology): “The pooled data set with 179 observations was considered by Proschan [30], among others.”
A New Class of Generalized Power Lindley Distribution with Applications to Lifetime Data (2016, background): “The third data set consists of the number of successive failures for the air conditioning system of each member in a fleet of 13 Boeing 720 jet airplanes (Proschan [31]).”
Goodness-of-Fit Test for Exponentiality Based on Kullback–Leibler Information (2004, methodology): “As an illustrative example for the tests KL E mn and KL C mn , we take data recording times to failure of air conditioning equipment for an aircraft, originally given by Proschan ( 1963 ).”
The gamma-exponentiated exponential distribution (2012, methodology): “Data Set 1: As first example, we consider the real data set from Proschan [11].”
The beta Weibull-geometric distribution (2013, methodology): “The pooled data with 213 observations were first analysed by Proschan [21] and discussed further by Adamidis and Loukas [18] and Barreto-Souza et al. [16].”
Distributions for Modeling Location, Scale, and Shape (2019, methodology): “R data file: aircond in package panel of dimensions 24× 1 source: Proschan [1963] variables aircond : the intervals, in service-hours, between failures of the airconditioning equipment in a Boeing 720 aircraft.”
A new compounding life distribution: the Weibull–Poisson distribution (2012, methodology): “[15] F. Proschan, Theoretical explanation of observed decreasing failure rate, Technometrics 5 (1963), pp. 375–383.”
Alpha-Power Transformed Lindley Distribution: Properties and Associated Inference with Application to Earthquake Data (2019, background): “For example: Proschan (1963) found that the air-conditioning systems of planes follows decreasing failure rate.”