A simple application of binomial—negative binomial relationship in the derivation of sharp bounds for moments of order statistics based on greatest convex minorants

1993 ◽  
Vol 18 (4) ◽  
pp. 301-305 ◽  
Author(s):  
N. Balakrishnan
Keyword(s):  
Order Statistics ◽  
Negative Binomial ◽  
Simple Application ◽  
Sharp Bounds ◽  
Convex Minorants ◽  
Moments Of Order Statistics

Some New Identities for Single Moments of Order Statistics

Statistics ◽  
1998 ◽  
Vol 30 (4) ◽  
pp. 345-355
Author(s):  
Jagdish Saran ◽  
Narinder Pushkarna
Keyword(s):  
Order Statistics ◽  
Single Moments ◽  
Moments Of Order Statistics

scholarly journals On the quotient moment of lower generalized order statistics and characterization

2015 ◽  
Vol 11 (1) ◽  
pp. 73-89
Author(s):  
Devendra Kumar
Keyword(s):  
Order Statistics ◽  
Recurrence Relation ◽  
Conditional Expectation ◽  
General Class ◽  
Recurrence Relations ◽  
Generalized Order Statistics ◽  
Lower Records ◽  
Moments Of Order Statistics ◽  
Generalized Order

Abstract In this paper we consider general class of distribution. Recurrence relations satisfied by the quotient moments and conditional quotient moments of lower generalized order statistics for a general class of distribution are derived. Further the results are deduced for quotient moments of order statistics and lower records and characterization of this distribution by considering the recurrence relation of conditional expectation for general class of distribution satisfied by the quotient moment of the lower generalized order statistics.

scholarly journals A Note on the Net Premium for a Generalized Largest Claims Reinsurance Cover

1998 ◽  
Vol 28 (1) ◽  
pp. 153-162 ◽  
Author(s):  
Raoul M. Berglund
Keyword(s):  
Order Statistics ◽  
Negative Binomial Distribution ◽  
Binomial Distribution ◽  
Negative Binomial ◽  
Mutually Independent

AbstractIn the present paper the author gives net premium formulae for a generalized largest claims reinsurance cover. If the claim sizes are mutually independent and identically 3-parametric Pareto distributed and the number of claims has a Poisson, binomial or negative binomial distribution, formulae are given from which numerical values can easily be obtained. The results are based on identities for compounded order statistics.

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