Probability distributions
The idea of a probability distribution exactly parallels that of a frequency distribution. Each type of distribution is based on a set of mutually exclusive and exhaustive measurement classes or class intervals. A probability distribution is thus an idealization of the way things might be if we only had all the information. It dictates what we should expect to observe in a frequency distributions, if some given state of affairs is true. Thus, we can say,
Any statement of a function associating each of a set of mutually exclusive and exhaustive classes or class intervals with its probability is called probability distribution.
A probability distribution is divided into two category. They are-
- Discrete probability distribution
- Continuous probability distribution
Discrete Probability Distributions
A discrete random variable assumes each of its values or numbers with a certain probability. A probability distribution with discrete random variable is called discrete probability distribution.
- Bernoulli Distribution
- Binomial Distribution
- Poisson Distribution
- Negative Binomial Distribution
- Geometric Distribution
- Hypergeometric Distribution
- Multinomial Distribution
- Power Series Distribution
- Discrete Uniform Distribution
- Logarithmic Series Distribution
Continuous Probability Distributions
- Uniform Distribution
- Normal Distribution
- Gamma Distribution
- Triangular Distribution
- Beta Distribution
- Exponential Distribution
- Logistic Distribution
- Weibul Distribution
- Cauchy Distribution
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