Success Runs in Symmetric Bernoulli Process

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Laplace transform asymptotics and large deviation principles for longest success runs in Bernoulli trials

The longest stretch L(n) of consecutive heads in n i.i.d. coin tosses is seen from the prism of large deviations. We first establish precise asymptotics for the moment generating function of L(n) and then show that there are precisely two large deviation principles, one concerning the behavior of the distribution of L(n) near its nominal value log 1/p n and one away from it. We discuss applicat...

متن کامل

GENERALIZED DISTRIBUTIONS OF ORDER k ASSOCIATED WITH SUCCESS RUNS IN BERNOULLI TRIALS

In a sequence of independent Bernoulli trials, by counting multidimensional lattice paths in order to compute the probability of a first-passage event, we derive and study a generalized negative binomial distribution of order k, type I, which extends to distributions of order k, the generalized negative binomial distribution of Jain and Consul (1971), and includes as a special case the negative...

متن کامل

On the Number of Runs for Bernoulli Arrays

We introduce and motivate the study of (n + 1) × r arrays X with Bernoulli entries Xk,j and independently distributed rows. We study the distribution of Sn = ∑r j=1 ∑n k=1 Xk,jXk+1,j , which denotes the number of consecutive pairs of successes (or runs of length 2) when reading the array down the columns and across the rows. With the case r = 1 having been studied by several authors, and permit...

متن کامل

Simple Expressions for Success Run Distributions in Bernoulli Trials

New simple formulae for some probability distributions of success runs in Bernoulli trials are found by using the classical definition of run. These expressions contain only one summation of ordinary binomial coefficients and thus allow a faster and efficient computation.

متن کامل

The Beta-Bernoulli process and algebraic effects

In this paper we analyze the Beta-Bernoulli process from Bayesian nonparametrics using the framework of algebraic effects from programming language theory. Our analysis reveals the importance of abstract data types, and two types of program equations, called commutativity and discardability, in the study of the Beta-Bernoulli process. We develop an equational theory of terms that use the Beta-B...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Missouri Journal of Mathematical Sciences

سال: 2013

ISSN: 0899-6180

DOI: 10.35834/mjms/1384266206