Runs in coin tossing: a general approach for deriving distributions for functionals

Preprint

25 July 2014

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1407.6831

Abstract

We take a fresh look at the classical problem of runs in a sequence of i.i.d.\ coin tosses and derive a general identity/recursion which can be used to compute (joint) distributions of functionals of run types. This generalizes and unifies already existing approaches. We give several examples, derive asymptotics, and pose some further questions.

Keywords

GENERAL IDENTITY/RECURSION
DERIVING DISTRIBUTIONS
DERIVE ASYMPTOTICS
CLASSICAL PROBLEM
COIN TOSSES
FRESH LOOK
RUN TYPES
TOSSES
RUNS

All Related Versions

Version 1, 2014-07-25, ArXiv

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