gammafordelningen
Gammafordelningen, also known as the gamma distribution, is a continuous probability distribution that is widely used in statistics and probability theory. It is a two-parameter family of curves that can model a variety of shapes, making it a versatile tool for modeling data that is skewed or has heavy tails. The gamma distribution is defined by two shape parameters, k (alpha) and theta (beta), which determine the shape and scale of the distribution, respectively.
The probability density function (PDF) of the gamma distribution is given by:
f(x; k, theta) = (x^(k-1) * e^(-x/theta)) / (theta^k * Gamma(k))
where Gamma(k) is the gamma function, which is a generalization of the factorial function.
The gamma distribution has several important properties. It is a right-skewed distribution when k < 1, symmetric
The gamma distribution has numerous applications in various fields, including finance, engineering, and biology. In finance,
In summary, the gamma distribution is a versatile and widely used probability distribution that can model a