probability function
101Maximum entropy probability distribution — In statistics and information theory, a maximum entropy probability distribution is a probability distribution whose entropy is at least as great as that of all other members of a specified class of distributions. According to the principle of… …
102Rate function — In mathematics mdash; specifically, in large deviations theory mdash; a rate function is a function used to quantify the probabilities of rare events. It is required to have several nice properties which assist in the formulation of the large… …
103Independence (probability theory) — In probability theory, to say that two events are independent intuitively means that the occurrence of one event makes it neither more nor less probable that the other occurs. For example: The event of getting a 6 the first time a die is rolled… …
104Coupon collector's problem (generating function approach) — The coupon collector s problem can be solved in several different ways. The generating function approach is a combinatorial technique that allows to obtain precise results. We introduce the probability generating function (PGF) G(z) where… …
105Factorial moment generating function — In probability theory and statistics, the factorial moment generating function of the probability distribution of a real valued random variable X is defined as:M X(t)=operatorname{E}igl [t^{X}igr] for all complex numbers t for which this… …
106Logistic function — A logistic function or logistic curve is the most common sigmoid curve. It modelsthe S curve of growth of some set P . The initial stage of growth is approximately exponential; then, as saturation begins, the growth slows, and at maturity, growth …
107Gaussian function — In mathematics, a Gaussian function (named after Carl Friedrich Gauss) is a function of the form::f(x) = a e^{ { (x b)^2 over 2 c^2 } }for some real constants a > 0, b , c > 0, and e ≈ 2.718281828 (Euler s number).The graph of a Gaussian is a… …
108List of convolutions of probability distributions — In probability theory, the probability distribution of the sum of two or more independent random variables is the convolution of their individual distributions. The term is motivated by the fact that the probability mass function or probability… …
109Discrete probability distribution — In probability theory, a probability distribution is called discrete if it is characterized by a probability mass function. Thus, the distribution of a random variable X is discrete, and X is then called a discrete random variable, if:sum u… …
110Posterior probability — The posterior probability of a random event or an uncertain proposition is the conditional probability that is assigned after the relevant evidence is taken into account.The posterior probability distribution of one random variable given the… …
