If the probability is f(x) that a product fails the xth time it is being used, that
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If the probability is f(x) that a product fails the xth time it is being used, that is, on the xth trial, then its failure rate at the xth trial is the probability that it will fail on the xth trial given that it has not failed on the first x – 1 trials; symbolically, it is given by Z(x) = f (x) / 1 – F(x– 1) where F(x) is the value of the corresponding distribution function at x. Show that if X is a geometric random variable, its failure rate is constant and equal to θ.
DistributionThe word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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John E Freunds Mathematical Statistics With Applications
ISBN: 9780134995373
8th Edition
Authors: Irwin Miller, Marylees Miller
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