Recurrence Relations for Moments of Generalized Order Statistics for Inverse Weibull Distribution and Some Characterizations

Shahbaz, Saman Hanif; Ahsanullah, Mohammad; Shahabaz, Muhammad Qaiser

doi:10.2991/jsta.2017.16.2.1

Cited by 2 publications

(4 citation statements)

References 16 publications

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“…Corollary 1: Replacing p with "-p" in (11), the recurrence relation for inverse moments of gos for the Lindley-Weibull distribution is…”

Section: Recursive Computation Of the Simple Momentsmentioning

confidence: 99%

“…In this section, we will give some characterizations for the Lindley-Weibull distribution in terms of simple and product moments of gos. These characterizations are given when m i = m and in this case, the relation (11) reduces to…”

Section: Characterizationsmentioning

confidence: 99%

“…Reference [10] has obtained relations for moments of gos for a generalized Pareto distribution. The recurrence relations for moments of gos for Kumaraswamy Pareto distribution have been obtained by [11]. Reference [12] has studied the relations for moments of gos for power Lomax distribution whereas the relations for moments of gos for power Lindley distribution have been explored by [13] among others.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On Relations for Moments of Generalized Order Statistics for Lindley–Weibull Distribution

Khan¹,

Shahbaz²,

Shahbaz³

2022

Computer Systems Science and Engineering

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Moments of generalized order statistics appear in several areas of science and engineering. These moments are useful in studying properties of the random variables which are arranged in increasing order of importance, for example, time to failure of a computer system. The computation of these moments is sometimes very tedious and hence some algorithms are required. One algorithm is to use a recursive method of computation of these moments and is very useful as it provides the basis to compute higher moments of generalized order statistics from the corresponding lower-order moments. Generalized order statistics provides several models of ordered data as a special case. The moments of generalized order statistics also provide moments of order statistics and record values as a special case. In this research, the recurrence relations for single, product, inverse and ratio moments of generalized order statistics will be obtained for Lindley-Weibull distribution. These relations will be helpful for obtained moments of generalized order statistics from Lindley-Weibull distribution recursively. Special cases of the recurrence relations will also be obtained. Some characterizations of the distribution will also be obtained by using moments of generalized order statistics. These relations for moments and characterizations can be used in different areas of computer sciences where data is arranged in increasing order.

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“…Corollary 1: Replacing p with "-p" in (11), the recurrence relation for inverse moments of gos for the Lindley-Weibull distribution is…”

Section: Recursive Computation Of the Simple Momentsmentioning

confidence: 99%

Section: Characterizationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On Relations for Moments of Generalized Order Statistics for Lindley–Weibull Distribution

Khan¹,

Shahbaz²,

Shahbaz³

2022

Computer Systems Science and Engineering

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“…Khan et al (2010) has obtained moments of gos for Erlang-truncated exponential distribution. Hanif Shahbaz and Shahbaz (2017) have obtained recurrence relations for moments of gos for Kumaraswamy Pareto distribution. Some other notable references include Ahsanullah et al (2015), Balakrishnan et al (2015), Kumar et al (2019) among others.…”

Section: Introductionmentioning

confidence: 99%

Relations for Moments of Generalized Order Statistics for Transmuted Exponential Distribution and Characterization

Shahbaz

Sobhi

Sherwani

2021

Pak.j.stat.oper.res.

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The relations for moments of generalized order statistics (gos) for transmuted exponential distribution are obtained. These include relations for single, inverse, product and ratio moments. These relations are useful in for recursive computation of moments of gos for transmuted exponential distribution. Some characterizations of the distribution, based on single and product moments of gos, are also obtained.

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Recurrence Relations for Moments of Generalized Order Statistics for Inverse Weibull Distribution and Some Characterizations

Cited by 2 publications

References 16 publications

On Relations for Moments of Generalized Order Statistics for Lindley–Weibull Distribution

On Relations for Moments of Generalized Order Statistics for Lindley–Weibull Distribution

Relations for Moments of Generalized Order Statistics for Transmuted Exponential Distribution and Characterization

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