HIGHER ORDER MOMENTS AND RECURRENCE RELATIONS OF ORDER STATISTICS FROM THE EXPONENTIATED GAMMA DISTRIBUTION

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SHAWKY A.I.; BAKOBAN R.A.

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Paper Information

Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2008 | Volume:5 | Issue:2 Page(s): 145-160

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Information Journal Paper

Title

HIGHER ORDER MOMENTS AND RECURRENCE RELATIONS OF ORDER STATISTICS FROM THE EXPONENTIATED GAMMA DISTRIBUTION

Author(s)

SHAWKY A.I. | BAKOBAN R.A. | Issue Writer Certificate

Keywords

ORDER STATISTICSQ1

RECURRENCE RELATIONSQ1

SINGLE MOMENTSQ2

DOUBLE MOMENTSQ2

MOMENT GENERATING FUNCTIONQ1

EXPONENTIATED GAMMA DISTRIBUTIONQ2

Abstract

ORDER STATISTICS arising from exponentiated gamma (EG) distribution are considered. Closed from expressions for the single and DOUBLE MOMENTS of ORDER STATISTICS are derived. Measures of skewness and kurtosis of the probability density function of the rth order statistic for different choices of r, n and θare presented. RECURRENCE RELATIONS between single and DOUBLE MOMENTS of rth ORDER STATISTICS are obtained. Single MOMENT GENERATING FUNCTION (MGF) is derived in closed form. Also, we establish several RECURRENCE RELATIONS between single MGF.

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APA: Copy

SHAWKY, A.I., & BAKOBAN, R.A.. (2008). HIGHER ORDER MOMENTS AND RECURRENCE RELATIONS OF ORDER STATISTICS FROM THE EXPONENTIATED GAMMA DISTRIBUTION. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 5(2), 145-160. SID. https://sid.ir/paper/129907/en

Vancouver: Copy

SHAWKY A.I., BAKOBAN R.A.. HIGHER ORDER MOMENTS AND RECURRENCE RELATIONS OF ORDER STATISTICS FROM THE EXPONENTIATED GAMMA DISTRIBUTION. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2008;5(2):145-160. Available from: https://sid.ir/paper/129907/en

IEEE: Copy

A.I. SHAWKY, and R.A. BAKOBAN, “HIGHER ORDER MOMENTS AND RECURRENCE RELATIONS OF ORDER STATISTICS FROM THE EXPONENTIATED GAMMA DISTRIBUTION,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 5, no. 2, pp. 145–160, 2008, [Online]. Available: https://sid.ir/paper/129907/en

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