Testing Exponentiality Based on Kullback-Leibler Information With Progressively Type-II Censored Data

Balakrishnan, N.; Rad, A. Habibi; Arghami, Nasser Reza

doi:10.1109/tr.2007.895308

Cited by 90 publications

(33 citation statements)

References 17 publications

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“…Large amount of following studies have successively introduced the concepts of the expansion of Hartley entropy and Shannon entropy [16], relative entropy [17], cumulative residual entropy [18][19][20][21], joint entropy [22,23], conditional entropy [24][25][26], mutual information [27][28][29][30][31][32], cross entropy [33][34][35][36][37][38], fuzzy entropy [15,39], maximum entropy principle [40,41] and minimum cross-entropy principle [42,43], and a series of achievements have been made in these aspects. Zhong makes use of general information functions to unify the methods of describing information metrics with Entropy formulas [4].…”

Section: About the Metrics Of Informationmentioning

confidence: 99%

Objective information theory: A Sextuple model and 9 kinds of metrics

Shen

et al. 2014

2014 Science and Information Conference

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In the contemporary era, the importance of information is undisputed, but there has never been a common understanding of information, nor a unanimous conclusion to the researches on information metrics. Based on the previous studies, this paper analyzes the important achievements in the researches of the properties and metrics of information as well as their main insufficiencies, and discusses the essence and connotation, the mathematical expressions and other basic problems related to information. On the basis of the understanding of the objectivity of information, it proposes the definitions and a Sextuple model of objective information; discusses the basic properties of information, and brings forward the definitions and mathematical expressions of nine kinds of metrics of information, i.e., extensity, detailedness, sustainability, richness, containability, delay, distribution, validity and matchability. Through these, this paper establishes a basic theory frame of Objective Information Theory to support the analysis and research on information and information system systematically and comprehensively.

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Section: About the Metrics Of Informationmentioning

confidence: 99%

Objective information theory: A Sextuple model and 9 kinds of metrics

Shen

et al. 2014

2014 Science and Information Conference

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“…Some extensions of KL information have been studied by some authors including Park (2012), Park and Shin (2013) for the Type I censored distribution and Balakrishnan et al (2007) for the Type II progressively censored distribution. Barapour and Rad (2012) recently suggested a cumulative residual KL information, an extension of KL information to the survival function, as…”

Section: Scaled Cumulative Residual Kl Informationmentioning

confidence: 99%

On scaled cumulative residual Kullback-Leibler information

Hwang¹,

Park²

2013

Journal of the Korean Data and Information Science Society

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Cumulative residual Kullback-Leibler (CRKL) information is well defined on the empirical distribution function (EDF) and allows us to construct a EDF-based goodness of fit test statistic. However, we need to consider a scaled CRKL because CRKL is not scale invariant. In this paper, we consider several criterions for estimating the scale parameter in the scale CRKL and compare the performances of the estimated CRKL in terms of both power and unbiasedness.

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“…For example, see D'Agostino and Stephens [8] and Huber-Carol et al [15]. Moreover, Ebrahimi [11,12], Balakrishnan et al [4,5], Park [22], Lim and Park [18], Lin et al [19], Habibi Rad et al [14], and Pakyari and Balakrishnan [20,21] developed some tests based on censored samples.…”

Section: Introductionmentioning

confidence: 99%

Testing Exponentiality Based on the Likelihood Ratio and Power Comparison

Noughabi

2015

Ann. Data. Sci.

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The exponential distribution is one of the fundamental lifetime models and is widely used for describing a failure mechanism of a system. Different applications of this distribution in survival analysis and reliability theory can be found in statistical literature. In this article, some powerful tests for exponentiality based on the likelihood ratio are proposed. The critical points of the test statistics are obtained by Monte Carlo simulations. The power values of the proposed tests are computed against a wide variety of alternative hypotheses and then these values are compared with the power values of the recent published exponentiality tests. It is shown that these tests have a reasonable power for various kinds of departures from exponentiality. For illustrative purpose, real examples are finally presented.

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Testing Exponentiality Based on Kullback-Leibler Information With Progressively Type-II Censored Data

Cited by 90 publications

References 17 publications

Objective information theory: A Sextuple model and 9 kinds of metrics

Objective information theory: A Sextuple model and 9 kinds of metrics

On scaled cumulative residual Kullback-Leibler information

Testing Exponentiality Based on the Likelihood Ratio and Power Comparison

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