The usual way of stating the negative binomial is the number of failures before you see x successes, but if you add the number of failures and the number of success then you get the total n which you are asking about.
The negative binomial does assume that the last observed value when you stopped is a success, this may match with what you want. But if you only know the number of success and not if there were any more failures after the last success then you will need to expand this. If the negative binomial does not answer the question then you may want to try a Baysian approach, choose a prior for n, hold the others constant or give them priors as well and apply Bayes theorem.
I don't have enough reputation to comment, so I will ask my question through here sorry if that's poor practice or whatever. I just want to clarify the question a bit. It sounds like that is what you're asking, correct? Sign up to join this community. The best answers are voted up and rise to the top.
Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. Distribution of number of Bernoulli trials to a given number of successes Ask Question. Asked 9 years, 1 month ago. Active 4 years, 8 months ago. Viewed 4k times. Improve this question. In probability theory , Hoeffding's inequality provides an upper bound on the probability for the sum of random variables to deviate from its expected value. Petersburg on his birth certificate.
His father was an economist and a disciple of Peter Struve , the Russian social scientist and public figure. Both grandfathers had been engineers. In the family left Tsarskoye Selo for Ukraine and, after traveling through scenes of civil war, finally left Russia for Denmark in , where Wassily entered school. In the family settled in Berlin. Hoeffding obtained his PhD in at the University of Berlin. He migrated with his mother to the United States in His younger brother, Oleg, became a military historian in the United States.
Hoeffding's ashes were buried in a small cemetery on land owned by George E. Nicholson, Jr. In , he introduced the concept of U-statistics. See the collected works of Wassily Hoeffding. Active Oldest Votes.
Robert Israel Robert Israel k 24 24 gold badges silver badges bronze badges. That seems like a good start. EDIT: Added my overall proof goal to the question. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Featured on Meta.
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