134 research outputs found
Estimation of Stress-Strength model in the Generalized Linear Failure Rate Distribution
In this paper, we study the estimation of , also so-called the
stress-strength model, when both and are two independent random
variables with the generalized linear failure rate distributions, under
different assumptions about their parameters. We address the maximum likelihood
estimator (MLE) of and the associated asymptotic confidence interval. In
addition, we compute the MLE and the corresponding Bootstrap confidence
interval when the sample sizes are small. The Bayes estimates of and the
associated credible intervals are also investigated. An extensive computer
simulation is implemented to compare the performances of the proposed
estimators. Eventually, we briefly study the estimation of this model when the
data obtained from both distributions are progressively type-II censored. We
present the MLE and the corresponding confidence interval under three different
progressive censoring schemes. We also analysis a set of real data for
illustrative purpose.Comment: 31 pages, 2 figures, preprin
Some advances in life testing and reliability
Not availabl
Inference for the Rayleigh Distribution Based on Progressive Type-II Fuzzy Censored Data
Classical statistical analysis of the Rayleigh distribution deals with precise information. However, in real world situations, experimental performance results cannot always be recorded or measured precisely, but each observable event may only be identified with a fuzzy subset of the sample space. Therefore, the conventional procedures used for estimating the Rayleigh distribution parameter will need to be adapted to the new situation. This article discusses different estimation methods for the parameters of the Rayleigh distribution on the basis of a progressively type-II censoring scheme when the available observations are described by means of fuzzy information. They include the maximum likelihood estimation, highest posterior density estimation and method of moments. The estimation procedures are discussed in detail and compared via Monte Carlo simulations in terms of their average biases and mean squared errors. Finally, one real data set is analyzed for illustrative purposes
Estimation of stress-strength reliability for weibull distribution based on type-II right censored ranked set sampling data
In this paper, we consider the estimation of stress-strength reliability R = P (X < Y) under the type-II right censored data when the distributions of both the stress and the strength are Weibull. First, we discuss the estimation of R based on simple random sampling (SRS). Then, we use the effective and the efficient alternative of SRS which is known to be the ranked set sampling (RSS) to estimate R. In the estimation procedure of R, we use two different approaches they are i) maximum likelihood (ML) which requires an iterative method and ii) modified maximum likelihood (MML) which has an explicit form. Monte-Carlo simulation study is performed to identify the efficient sampling method (i.e., SRS or RSS) and the efficient estimation method (i.e., ML or MML). Finally, strength and wind speed data sets are analyzed to illustrate the proposed methods in practice
Recurrence relations for moments of Progressively Type-II Censored from Weibull-Rayleigh distribution and its characterizations
This paper is devoted to get new recurrence relations satisfied by the single and product moments based on Progressively Type-II Censored (ProgT-II) from the three parameters Weibull-Rayleigh distribution (WRD) and doubly truncated WRD. Finally characterizations of the WRD based on these recurrence relations, hazard rate function and truncated moments are discussed.Publisher's Versio
Stress-strength reliability of Weibull distribution based on progressively censored samples
Based on progressively Type-II censored samples, this pape
r deals with inference for the stress-
strength reliability
R
=
P
(
Y
<
X
) when
X
and
Y
are two independent Weibull distributions with
different scale parameters, but having the same shape param
eter. The maximum likelihood esti-
mator, and the approximate maximum likelihood estimator of
R
are obtained. Different confidence
intervals are presented. The Bayes estimator of
R
and the corresponding credible interval using
the Gibbs sampling technique are also proposed. Further, we
consider the estimation of
R
when
the same shape parameter is known. The results for exponenti
al and Rayleigh distributions can
be obtained as special cases with different scale parameter
s. Analysis of a real data set as well a
Monte Carlo simulation have been presented for illustrativ
e purposes.Peer Reviewe
On estimating parameters of a progressively censored lognormal distribution
[[abstract]]We consider the problem of making statistical inference on unknown parameters of a lognormal distribution under the assumption that samples are progressively censored. The maximum likelihood estimates (MLEs) are obtained by using the expectation-maximization algorithm. The observed and expected Fisher information matrices are provided as well. Approximate MLEs of unknown parameters are also obtained. Bayes and generalized estimates are derived under squared error loss function. We compute these estimates using Lindley's method as well as importance sampling method. Highest posterior density interval and asymptotic interval estimates are constructed for unknown parameters. A simulation study is conducted to compare proposed estimates. Further, a data set is analysed for illustrative purposes. Finally, optimal progressive censoring plans are discussed under different optimality criteria and results are presented.[[notice]]補正完畢[[journaltype]]國外[[incitationindex]]SCI[[ispeerreviewed]]Y[[booktype]]電子版[[countrycodes]]GB
Estimating the Parameter of Exponential Distribution under Type II Censoring From Fuzzy Data
The problem of estimating the parameter of Exponential distribution on the basis of type II censoring scheme is considered when the available data are in the form of fuzzy numbers. The Bayes estimate of the unknown parameter is obtained by using the approximation forms of Lindley (1980) and Tierney and Kadane (1986) under the assumption of gamma prior. The highest posterior density (HPD) estimate of the parameter of interest is found. A Monte Carlo simulation is used to compare the performances of the different methods. A real data set is investigated to illustrate the applicability of the proposed methods
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