The distributions of linear combinations, products and ratios of random variables arise in many areas of engineering. In this note, the exact distributions of , and are derived when and are independent normal and logistic random variables. The normal and logistic distributions have been two of the most popular models for measurement errors in engineering.
El modelo propuesto es un modelo lineal de recubrimiento, permite varias categorías de parques, limitaciones de capacidad y de infrautilización, un r-cubrimiento para las celdas que se especifiquen, y una ponderación de las celdas por un índice de peligrosidad de incendios. Se ha realizado una aplicación en la zona de Martorell y Castellví de Rosanes (Barcelona).
Let the random variable have the normal distribution . Explicit formulas for maximum likelihood estimator of are derived under the hypotheses , where are arbitrary fixed numbers. Asymptotic distribution of the likelihood ratio statistic for testing this hypothesis is derived and some of its quantiles are presented.