Consider a category of product variants distinguished by some attribute such as color or flavor. A retailer must construct an assortment for the category, i.e., select a subset variants to stock and determine purchase quantities for each offered variant. We analyze this problem using a multinomial logit model to describe the consumer choice process and a newsboy model to represent the retailer’...

Model diagnostics and forecast evaluation are closely related tasks, with the former concerning in-sample goodness (or lack) of fit latter addressing predictive performance out-of-sample. We review ubiquitous setting in which forecasts cast form quantiles or quantile-bounded prediction intervals. distinguish unconditional calibration, corresponds to classical coverage criteria, from stronger no...

The purpose of this note is to mechanistically derive the logistic population growth models from the well tested and received Droop equation. 1. A mechanistic derivation of the logistic equation. Population growth involves and often is determined by the birth and death processes. Most of the existing studies focus on birth process on the combined birth and death processes (the growth process). ...

In statistics, logistic regression is a regression model to predict a binomially distributed response variable. Recent research has investigated the opportunity of combining logistic regression with decision tree learners. Following this idea, we propose a novel Logistic Model Tree induction system, SILoRT, which induces trees with two types of nodes: regression nodes, which perform only univar...

The quasi-stationary distribution of the stochastic logistic model is studied in the parameter region where its body is approximately normal. Improved asymptotic approximations of its first three cumulants are derived. It is shown that the same results can be derived with the aid of the moment closure method. This indicates that the moment closure method leads to expressions for the cumulants t...

A segmented regression model for the description of microbial growth has been suggested. The model is able to predict the exponential growth, logistic growth, logistic growth with a phase of decline, diauxic growth, microbial growth in synchronous cultures and the oscillatory growth

a segmented regression model for the description of microbial growth has been suggested. the model is able to predict the exponential growth, logistic growth, logistic growth with a phase of decline, diauxic growth, microbial growth in synchronous cultures and the oscillatory growth