A characterization based on the equidistribution of the first two spacings of record values |
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| Authors: | N R Mohan S S Nayak |
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| Institution: | (1) Department of Statistics, University of Mysore, 570006 Mysore, India |
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| Abstract: | Summary For a sequence {X
n:n=0, 1, 2,...} of i.i.d. discrete random variables let X
0 denote the zeroeth record value and X
L(1), the first record value. It is shown that X
0 and X
L(1) –X
0 are identically distributed if and only if X
0 has the geometric distribution over the lattice k  :k=1, 2,... for some  >0. |
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| Keywords: | |
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