On 'Monotonic' Binomial Distribution (Functional Analysis as Information Science and Related Topics)
Naofumi Muraki · Institutional Repositories DataBase (IRDB) · 2003
The 'monotonic' analogue of binomial distribution is discussed.Its probability distribution is determined in arecursive way.We also give agraphi- cal simulation of monotonic central limit theorem and of monotonic Poisson limit theorem ( $=\mathrm{m}\mathrm{o}\mathrm{n}\mathrm{o}\mathrm{t}\mathrm{o}\mathrm{n}\mathrm{i}\mathrm{c}$ law of small numbers), through this monotonic binomial distribution.