Journal of the Iranian Statistical Society
پژوهشنامه انجمن آمار ایران
JIRSS
Basic Sciences
http://jirss.irstat.ir
1
admin
1726-4057
2538-189X
8
10.29252/jirss
14
1726-4057
13
en
jalali
1385
12
1
gregorian
2007
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1
6
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online
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fulltext
en
متغیرهای تصادفی مرتب شده از توزیعهای ناپیوسته
Ordered Random Variables from Discontinuous Distributions
Foundations of probability theory: 60A
60A: Foundations of probability theory
In the absolutely continuous case, order statistics, record values and several other models of ordered random variables can be viewed as special cases of generalized order statistics, which enables a unified treatment of their theory. This paper deals with discontinuous generalized order statistics, continuing on the recent work of Tran (2006). Specifically, we show that in general neither records nor weak records are submodels of discrete generalized order statistics. Next, we show that progressively Type-II right censored order statistics from an arbitrary distribution can be embedded in the model of generalized order statistics and then use this fact to establish some distributional properties of progressively Type-II right censored order statistics. Finally, we present some characterizations of the geometric distribution based on progressively Type-II right censored order statistics.
Characterizations, discrete distributions, generalized order statistics, geometric distribution, Markov property, ordered random vari- ables, progressively Type-II right censored order statistics, records, weak records
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http://jirss.irstat.ir/browse.php?a_code=A-10-1-98&slc_lang=en&sid=1
N.
Balakrishnan
`10031947532846003481`

10031947532846003481
Yes
A.
Dembin ́ska
`10031947532846003482`

10031947532846003482
No