Multicolor urn models with reducible replacement matrices

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

Multicolor urn models with reducible replacement matrices

Consider the multicolored urn model where after every draw, balls of the different colors are added to the urn in proportion determined by a given stochastic replacement matrix. We consider some special replacement matrices which are not irreducible. For three and four color urns, we derive the asymptotic behavior of linear combinations of number of balls. In particular, we show that certain li...

متن کامل

Strong convergence for urn models with reducible replacement policy

A multitype urn scheme with random replacements is considered. Each time a ball is picked, another ball is added, and its type is chosen according to the transition probabilities of a reducible Markov chain. The vector of frequencies is shown to converge almost surely to a random element of the set of stationary measures of the Markov chain. Its probability distribution is characterized as the ...

متن کامل

ar X iv : 0 71 0 . 15 20 v 1 [ m at h . PR ] 8 O ct 2 00 7 MULTICOLOR URN MODELS WITH REDUCIBLE REPLACEMENT MATRICES

Consider the multicolored urn model where after every draw, balls of the different colors are added to the urn in proportion determined by a given stochastic replacement matrix. We consider some special replacement matrices which are not irreducible. For three and four color urns, we derive the asymptotic behavior of linear combinations of number of balls. In particular, we show that certain li...

متن کامل

Pólya Urn Models under General Replacement Schemes

In this paper, we consider a Pólya urn model containing balls of m different labels under a general replacement scheme, which is characterized by an m×m addition matrix of integers without constraints on the values of these m integers other than non-negativity. This urn model includes some important urn models treated before. By a method based on the probability generating functions, we conside...

متن کامل

Collision Times in Multicolor Urn Models and Sequential Graph Coloring With Applications to Discrete Logarithms

Consider an urn model where at each step one of q colors is sampled according to some probability distribution and a ball of that color is placed in an urn. The distribution of assigning balls to urns may depend on the color of the ball. Collisions occur when a ball is placed in an urn which already contains a ball of different color. Equivalently, this can be viewed as sequentially coloring a ...

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: Bernoulli

سال: 2009

ISSN: 1350-7265

DOI: 10.3150/08-bej150