In this paper, we describe the R package rTableICC that provides an interface for random generation of 2×2×K and R×C contingency tables constructed over either intraclass-correlated or uncorrelated individuals. Intraclass correlations arise in studies where sampling units include more than one individual and these individuals are correlated. The package implements random generation of contingen...

distribution and diversity of income in rural regions according to the characteristics of households and in the framework of sustainable livelihood must be investigated. in this study, in order to investigate the status of income distribution and diversity and its impact on the economy of rural households in alamout region multinomial logit model has been used. the required dates are related to...

Dropout has been witnessed with great success in training deep neural networks by independently zeroing out the outputs of neurons at random. It has also received a surge of interest for shallow learning, e.g., logistic regression. However, the independent sampling for dropout could be suboptimal for the sake of convergence. In this paper, we propose to use multinomial sampling for dropout, i.e...

Multinomial processing tree models are widely used in many areas of psychology. Their application relies on the assumption of parameter homogeneity, that is, on the assumption that participants do not differ in their parameter values. Tests for parameter homogeneity are proposed that can be routinely used as part of multinomial model analyses to defend the assumption. If parameter homogeneity i...

Heritability and repeatability and genetic and phenotypic correlations were estimated for trotting race records with linear and generalized linear models using 510,519 records on 17,792 Finnhorses and 513,161 records on 25,536 Standardbred trotters. Heritability and repeatability were estimated for single racing time and earnings traits with linear models, and logarithmic scale was used for rac...

Multinomial models arise when there is a set of complementary and mutually exclusive categories and each observation falls into one of these categories. Such models are used in many scientific and industrial applications. For example, they are frequently applied to the compositions of rocks in geology, to patterns of consumer selection preferences in microeconomics, and to voting behavior in po...

In a multinomial sampling, contingency tables can be parametrized by probabilities of each cell. These probabilities constitute the joint probability function of two or more discrete random variables. These probability tables have been previously studied from a compositional point of view. The compositional analysis of probability tables ensures coherence when analysing sub-tables. The main res...

Path-dependent stochastic processes are often non-ergodic and observables can no longer be computed within the ensemble picture. The resulting mathematical difficulties pose severe limits to the analytical understanding of path-dependent processes. Their statistics is typically non-multinomial in the sense that the multiplicities of the occurrence of states is not a multinomial factor. The maxi...

Nowadays one of the most important challenges for integrated systems such as social networks is the evaluation of trust for agents which are interacting with each other in the environment. It plays an important role that the trust has been evaluated from the agent’s experiences. In this paper, we propose a new mathematical approach based on the entropy of Dirichlet distribution, to model the ag...