Moments estimators and omnibus chi-square tests for some usual probability laws

On the multi _ chi-square tests and their data complexity

Chi-square tests are generally used for distinguishing purposes; however when they are combined to simultaneously test several independent variables, extra notation is required. In this study, the chi-square statistics in some previous works is revealed to be computed half of its real value. Therefore, the notion of Multi _ Chi-square tests is formulated to avoid possible future confusions. In ...

Chi-Square Tests for Comparison Weighted Histograms

Weighted histograms in Monte-Carlo simulations are often used for the estimation of probability density functions. They are obtained as a result of random experiment with random events that have weights. In this paper the bin contents of a weighted histogram are considered as a sum of random variables with a random number of terms. Generalizations of the classical chi-square test for comparing ...

Some Recent Results in Chi-square Goodness-of-fit Tests Some Recent Results in Chi-square Goodness-of-fit Tests Some Recent Results on Chi-square Goodness-of-fit Tests

The aim of this paper is to relate and extend some recent work on chi-square goodness-of-fit tests. There is no discussion of any problems which are specifically associated with more than one categorical variable.. The main topics are the effect of estimation on chi-square and its partitions ~~d their relation to Neymants smooth goodness-of-fit test, and the effect of grotp:ing a univariate dis...

Chi-square Tests for Parameter Stability

Success probability in chi - square attacks

Knudsen and Meier applied the χ-attack to RC6. This attack is one of the most effective attacks for RC6. The χ-attack can be used for both distinguishing attacks and for key recovery attacks. Up to the present, theoretical analysis of χ-attacks, especially the relation between a distinguishing attack and a key recovery attack, has not been discussed. In this paper, we investigate the theoretica...