The gamma function is a good approximation to the luminosity function (LF) of galaxies, and an exponentiated gamma distribution would permit a more rigorous analysis. This paper examines the ...

Let’s introduce a method to estimate the errors created by placing the thermocouples in temperature measurement. It will be shown how the errors depend on ...

Abstract: Kolmogrov's power spectrum density model has been utilized for long time to describe the atmosphere turbulence. However, this model has not been accurate many times because it has been used ...

This section describes the probability distributions available in the RELIABILITY procedure for probability plotting and parameter estimation. Refer to Lawless (1982, p. 240) for a description of the ...

We define the incomplete gamma function ratio for positive N by \begin{align*}\tag{1}P(N, b, X) &= \int^X_0 t^{N-1}e^{-bt} dt/ \int^\infty_0 t^{N-1}e^{-bt} dt \\ &\equiv \int^X_0 D(N, b, t) dt, ...

Arithmetic Asian options are difficult to price and hedge as they do not have closed-form analytic solutions. The main theoretical reason for this difficulty is that the payoff depends on the finite ...

Life data are sometimes modeled with the gamma distribution. Although PROC GENMOD does not analyze censored data or provide other useful lifetime distributions such as the Weibull or lognormal, it can ...