Folk Tale Analysis

Folklores and folktales have been an integral part of every culture since ages. Most of the folktales are the basic ingredients of Children stories that we are going to consider for our study. The maximum numbers of children stories are compiled from our classical folklores and folktales. These stories are transmitted from one generation to the next over time. Stories are expanded and reshaped with each retelling, depending upon customs, cultures, time and places. They are found to be similar with respect to the moral lessons with different flavors produced by different cultures and languages. While narrating the stories, the narrators (authors) introduce great amount of randomness. As a consequence, the style of writings varies from language

The concept of Empirical distribution function is used for studying the probabilistic structure of the distributions of random variables viz (i) total number of words, (ii) total number of sentences ,(iii)mean number of words per sentence and (iv) range of the size of sentences of different stories under different languages namely Assamese, Bengali, English1(Grimm’s’ Fairy tales) and English2 (Andersen’s Fairy tales). In the second stage Non-parametric test ( Kolmogorov Goodness –of- Fit test) is performed to test the normality of the distributions of random variables mentioned above. The third stage is devoted to Kruskal-Wallis Test and the Squared Ranks Test for more than two samples for comparing the means and variances of the random variables (i),(ii),(iii)and (iv) respectively.
V. SOME IMPORTANT CHARACTERISTICS FOR RECOGNIZING THE PATTERN OF CHILDREN STORIES
A. SOME DEFINITIONS
A word is a basic element in every language with proper combination of letters arranged in such a manner that they should represent either objects or ideas. let wij (k,l) be the jth word in the ith sentence of kth story under lth language ∀i=1,2,…..m j=1,2….n k=1,2…r and l=1,2,…,q . Here w(kl)=∑ i∑j wij (k,l) is the total number of words in kth story described under lth language. wi(kl)= ∑j

w_kl/S_kl =w ̅_kl (k=1,2,…,r and l=1,2,…,q ) is the mean number of words per sentence of the kth story under lth language .
Range of the size of sentences in the kth story under lth language is the difference between the maximum and minimum size of sentences of that particular story.
Here, Wi(kl)= ∑j Wij (k,l) is the size of the ith sentence in the kth story under lth language.
Therefore, Rkl=Max wi(kl)-Min wi(kl), i=1,2,…,m ,k=1,2,…,r and l=1,2,…,q represents range of the size of sentences of kth story under lth language.
B. EMPIRICAL DISTRIBUTION FUNCTION
The true distribution of a random variable is almost never known. Sometimes we make some reasonable guess to form the distribution function and use it as an approximation of the true distribution function. One way of making a good guess is by observing several values of the random variable and constructing a graph of F(x) that may be used as an estimate of the entire unknown population distribution function of the random variable. F(x) is known as empirical distribution function and it turns out to be step