Gamma spacings as finite gamma mixtures

Other Title(s)

مسافات جاما كمزيج جاما المحدود

Author

Rifi, Mahmud I.

Source

مجلة الجامعة الإسلامية للدراسات الطبيعية

Publisher

The Islamic University-Gaza Deanship of Research and Graduate Affairs

Publication Date

2017-03-31

Country of Publication

Palestine (Gaza Strip)

No. of Pages

5

Main Subjects

Mathematics

Topics

• Distribution(Probability theory)

English Abstract

This paper considers the distributions of spacings between successive order statistics corresponding to a random sample from a two-parameter gamma distribution .

We prove that when the shape parameter of the underlying distribution is a positive integer, these spacings can be expressed as finite gamma mixtures.

We present exact formulas for computing the distributions of the spacings.

Then we present a Mathematica program to implement the results

Data Type

Conference Papers

Record ID

BIM-778506

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