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Sharp bounds on expectations of kth record spacings from restricted families
Journal article   Peer reviewed

Sharp bounds on expectations of kth record spacings from restricted families

Katarzyna Danielak and Mohammad Z. Raqab
Statistics & probability letters, Vol.69(2), pp.175-187
15/08/2004
DOI: https://doi.org/10.1016/j.spl.2004.06.027

Abstract

Bound Decreasing density Decreasing failure rate kth Record Projection
We derive sharp upper bounds on expectations of increments of consecutive kth record statistics based on independent samples from restricted families of distributions: the ones with decreasing density and failure rate. The results are obtained by means of projection method.

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