A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function

By Zhenmin Chen. 2000

428 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4a9579b7075086e62d2fbfae3b5af5c73a32c3ed

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In Statistics and Probability

Citations in the corpus

Testing exponentiality based on characterizations of the exponential distribution (2011, neutral): “Chen's 39 distribution <inline-graphic xmlns:xlink="http://www.”
Estimating the parameters of a bathtub-shaped distribution under progressive type-II censoring (2012, methodology): “Based on a progressively type-II censored sample, we consider the problem of estimating parameters of a bathtub-shaped distribution proposed by Chen 6 under both classical and Bayesian contexts.”
On estimating the reliability in a multicomponent stress-strength model based on Chen distribution (2020, background): “Chen (2000) proposed a new two parameter lifetime distribution with bathtub shaped or increasing failure rate function.”
Estimation and prediction for Chen distribution with bathtub shape under progressive censoring (2017, background): “Following Chen,[3] we observe that hazard rate function is increasing for β ≥ 1 and is bathtub shaped otherwise.”
The exponential–Weibull lifetime distribution (2014, positive): “• New Weibull (NW) distribution.[17] The NW cumulative function (with two parameters λ and β) is F(x) = 1 − exp{λ(1 − exβ )}, x > 0, where λ > 0 and β > 0 are shape parameters.”
Statistical Analysis of a Weibull Extension Model (2003, methodology): “An interesting two-parameter model proposed by Chen (2000) can display bathtub-shaped failure rate function and has exact confidence interval and joint confidence interval estimations of the parameters.”
A new class of distribution having decreasing, increasing, and bathtub-shaped failure rate (2017, methodology): “…we have compared the proposed model with the gamma, exponential, Weibull, flexible Weibull (FW), inverse Weibull (IW), generalized inverted exponential distribution (GIED), DUSE distribution, and Chen’s model (CM) which is proposed by Chen (2000), for the suitability of proposed distribution.”
Representing the mean residual life in terms of the failure rate (2003, background): “Chen [23] proposes the two-parameter distribution with cumulative distribution function given by F (t) = 1− exp {( 1− exp ( t )) λ } , t > 0, where λ > 0 and β > 0 are parameters.”
General results for the Kumaraswamy-G distribution (2012, background): “For a = b = 1, it becomes the Chen distribution [4].”
Bayesian estimation based on progressive Type-II censoring from two-parameter bathtub-shaped lifetime model: an Markov chain Monte Carlo approach (2014, methodology): “Chen [6] considered interval estimation problem when a Type-II censored sample is available from bathtub-shaped distribution, given by Equation (1).”
An Extension of Chen’s Family of Survival Distributions with Bathtub Shape or Increasing Hazard Rate Function (2015, methodology): “It is to be noted that the special case σ = 1 gives the distribution by Chen (2000) introduced earlier.”
The generalized inverse Lindley distribution: A new inverse statistical model for the study of upside-down bathtub data (2016, methodology): “Chen (2000) also introduced a two-parameter bathtub-shaped hazard rate model for survival data analysis.”
Estimation of the two-parameter bathtub-shaped lifetime distribution with progressive censoring (2008, methodology): “Chen [5] showed that (e β i − 1)/(eaβ 1 − 1) is a strictly increasing function of β for any 0 < a1 < ai , i = 2, 3, .”
Recent and classical tests for exponentiality: a partial review with comparisons (2005, neutral): “With these critical values, the power of the tests was simulated based on samples of size n 1⁄4 20 and n 1⁄4 50 from the following distributions: the Weibull distribution with density hxh 1 expð xhÞ, denoted by W ðhÞ, the Gamma distribution with density CðhÞ (1)xh 1 expð xÞ, denoted by CðhÞ, the log”