The article addresses probability distributions (normal, log-normal, binomial, logistic, exponential, Cauchy distribution, Student’s t-distribution, Laplace distribution, Poisson distribution, Hyperbolic Secant distribution, Beta and Gamma distribution) of random variables used in Applied Statistics. It also features classes for handling these distributions.

### Introduction

By nature of activity, a trader very often has to deal with such categories as probability and randomness. The antipode of randomness is a notion of “regularity”. It is remarkable that in virtue of general philosophical laws randomness as a rule grows into regularity. We will not discuss the contrary at this point. Basically, the randomness-regularity correlation is a key relation since, if taken in the market context, it directly affects the profit amount received by a trader.

In this article, I will set out underlying theoretical instruments which will in the future help us find some market regularities.

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