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Month: December 2017

Generalizing the Negative Binomial Distribution via First-Kind Dependence

Generalizing the Negative Binomial Distribution via First-Kind Dependence

This paper generalizes the negative binomial random variable by generating it from a sequence of first-kind dependent Bernoulli trials under the identity permutation. The PMF, MGF, and various moments are provided, and it is proven that the distribution is indeed an extension of the standard negative binomial random variable. We examine the effect of complete…

Mailbox Answers: Calculating New Parity After an Overwrite

Mailbox Answers: Calculating New Parity After an Overwrite

I recently did some work for Mr. Howard Marks, an independent analyst and founder of Deep Storage on the subject of data protection and data loss. He e-mailed me with a question regarding calculating the new parity for a stripe of data on a storage system.  Let us consider the case of a RAID 5…