This paper deals with the comparison of tail probabilities for sums of independent bounded random variables and those fbr sums of Bernoulli random variables. As a consequence, we obtain a new sufficient criterion for the strong law of large numbers for a certain class of sequences of independent ran
Sums of dependent Bernoulli random variables and disease clustering
β Scribed by Chang Yu; Daniel Zelterman
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 111 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
β¦ Synopsis
We develop new discrete distributions that describe the behavior of a sum of dependent Bernoulli random variables. These distributions are motivated by the manner in which multiple individuals with a lung disease appear to cluster within the same family. General results for these models include recursive relationships for their mass functions and moments.
π SIMILAR VOLUMES
Let {~,,},~1 be i.i.d. Bernoulli randoln variables. For Β½</,<1, let X ~.~i~1//',;, bc ,he discount sum and let Β’l/, be the distribution measure. It is known that if p ~ is a P.V. nmnber. then I~:, is continuously singular. In this paper we use a Markov chain technique to obtain !he precise L:-dimen