{"content":[{"text":"Sri Lankan Journal of Applied Statistics, Vol (15-2)","bbox":{"left":0.141462,"top":0.048954,"width":0.375266,"height":0.016946000000000003}},{"text":"Moments of Power Function Distribution Based on \n Ordered Random Variables and Characterization \n Devendra Kumar* and R.U. Khan \n *Department of Statistics, Amity Institute of Applied Sciences \n Amity University, Noida-201 303, India \n Department of Statistics and Operations Research, \n Aligarh Muslim University, Aligarh-202 002, India \n Corresponding Author: devendrastats@gmail.com","bbox":{"left":0.191246,"top":0.099258,"width":0.6450319999999999,"height":0.18157099999999998}},{"text":"Received: 26, November, 2013 / Revised: 7, April, 2014 / Accepted: 9, May 2014","bbox":{"left":0.141462,"top":0.332053,"width":0.5913080000000001,"height":0.016946000000000017}},{"text":"ABSTRACT \n In this paper simple expressions for single and product moments of generalized \n order statistics from the power function distribution have been obtained. The \n results for order statistics and records are deduced from the relations derived. \n Further, a characterizing result of this distribution on using the conditional \n moments of the generalized order statistics is discussed. \n Keywords: Generalized order statistics, order statistics, records, power function \n distribution, moments and characterization. \n 1. Introduction \n The concept of generalized order statistics (gos ) was introduced by Kamps \n (1995). Several models of ordered random variables such as order statistics, \n record values, sequential order statistics, progressive type II censored order \n statistics and Pfeifer’s record values can be discussed as special cases of the \n gos. Suppose X ,1( n , m , k ),  , X ( n , n , m , k ) , ( k  ,1 m is a real number), are \n n gos from an absolutely continuous distribution function (df ) F(x) with \n probability density function (pdf ) f (x) , if their joint pdf is of the form","bbox":{"left":0.141462,"top":0.365687,"width":0.7175290000000001,"height":0.3777130000000001}},{"text":" n  1   n  1 \n    \n k   1[  m \n F ( x )] \n  j   i \n  j  1   i  1","bbox":{"left":0.248883,"top":0.75505,"width":0.233571,"height":0.05600499999999997}},{"text":" \n f ( x )  1(  k \n F (  1 \n x )) f ( x ) \n i  n n \n ","bbox":{"left":0.492415,"top":0.757646,"width":0.245589,"height":0.050813999999999915}},{"text":"(1)","bbox":{"left":0.833053,"top":0.770149,"width":0.025865000000000027,"height":0.020787}},{"text":"on the cone  1 (0)  1 \n F  x    x  F )1( , \n 1 n","bbox":{"left":0.141462,"top":0.822799,"width":0.39980400000000005,"height":0.027521000000000018}},{"text":"IASSL","bbox":{"left":0.141462,"top":0.932931,"width":0.05019799999999999,"height":0.016946000000000017}},{"text":"ISBN-1391-4987","bbox":{"left":0.448393,"top":0.932931,"width":0.12543100000000001,"height":0.016946000000000017}},{"text":"91","bbox":{"left":0.836179,"top":0.932931,"width":0.018158000000000007,"height":0.016946000000000017}}],"images_bbox":[],"images_bbox_not_text_overlap":[]}