Upper and lower bounds for the reliability measure of a discrete distribution conditionally on the first three moments

Details Upper and lower bounds for the reliability measure of a discrete distribution conditionally on the first three moments Upper and lower bounds for the reliability measure of a discrete distribution conditionally on the first three moments

2012-01-30

arxiv.org/abs/1201.6387v1

Mathematics

Statistics Theory

11 pages, 5 figures

Scientific paper

We give sharp bounds for the reliability measure of a discrete r.v. defined
on {0, ..., n}, conditionally on the knowledge of the first three moments of
the r.v. The present work is as an extension of the results given in [Di Cecco,
Stat. Prob. Lett., 81(2011), 411-416].

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