STATISTICAL DISTRIBUTION OF SPEECH SOUNDS

In speech sound statistics,the word occurance deviates from Poisson distribution for randomdiscrete variable.A new statistical distribution function is proposed in this paper to account forthe law of occurance of speech words.It is reasoned that although a large vocabulary is in exist-ence from which the words can be drawn arbitrarily,but the speaker draws only after delibera-tion.Thus,unlike the random occurance of simpler speech sounds,such as phonemes and letters,which obeys Poisson distribution for discrete random processes,the occurance of words is a randomprocess modulated by the selection and processing of the speaker.This process closely resemblesthe narrow-band filtering of a random signal,and it is considered that something like the corre-sponding Rayleigh distribution function might fit better.Actual counting and test of fitness provedthis. The cumulative distribution function is exactly Rayleigh’s except that only integral numbersare taken for the variable,the distribution function thus built