MOMENTS AND JOINT DISTRIBUTION OF CONCOMITANTS OF ORDER STATISTICS

Sabir Ali  Siddiqui; Sanjay  Jain; Irfan  Siddiqui; Masood  Alam; Pervaiz Ahmad  Chalkoo

Sabir Ali Siddiqui Department of Mathematics and Sciences, Dhofar University, Salalah, Sultanate of Oman
Sanjay Jain Department of Statistics, St John’s College, Agra, India
Irfan Siddiqui Department of Management Studies, Sinhagad College of Engineering, Pune, India
Masood Alam Department of Mathematics and Statistics , Sultan Qaboos University, Muscat, Sultanate of Oman
Pervaiz Ahmad Chalkoo Department of Statistics, St John’s College, Agra, India

Keywords: Bivar i at e di s t r ibut ion, order s ta t i s t ic s, c oncomi tant

Abstract

Present a r t i cle de al s in the mathemat ic al deve lopment of moment s and joint di s t r ibut ion of concomi tant s of order stat ist ic s. Gumbel ’s bi - va r i ate exponent ial di s t r ibut ion (1960) ha s been con s ider ed as the pa rent al di s t r ibut ion of the orde r s tat i s t i cs . Ide a behind thi s ar t i cl e i s to cont r ibute in deve loping ma thema t i c al expre s s ions which c an di re ct ly be used a s a tool .

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