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On the Exact Distributions of Pattern Statistics for a Sequence of Binary Trials: A Combinatorial Approach
Consider a sequence of exchangeable or Markov-dependent binary (zero-one) trials. A sequence of independent and identically distributed binary trials...
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An Evolutionary Model that Satisfies Detailed Balance
We propose a class of evolution models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In...
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Hierarchical Archimedean Dependence in Common Shock Models
In this paper we show how to extend a simple common shock model with Archimedean dependence of the hidden variables to the non-exchangeable case. The...
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Incorporating Information from Completed Trials and Other Sources in Future Trial Planning
Drug development is a continuum. Information from completed trials and other sources may be available when we design a new trial. In this chapter, we...
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Introduction to Basket Trials
With the advent of targeted therapies and immunotherapies, precision medicine has entered clinical practice. Basket trials provide an important...
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The Pseudo-Normal (PN) Distribution
The pseudo-normal (PN) family of distributionsPseudo-normal (PN) distributionfamily of distributions was given by OgasawaraOgasawara (J Multivar Anal...
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Stochastic ordering in multivariate extremes
The article considers the multivariate stochastic orders of upper orthants, lower orthants and positive quadrant dependence (PQD) among simple...
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M-Estimation in GARCH Models in the Absence of Higher-Order Moments
We consider a class of M-estimators of the parameters of a GARCH(p, q) model. These estimators are asymptotically normal, depending on score...
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On Bernoulli trials with unequal harmonic success probabilities
A Bernoulli scheme with unequal harmonic success probabilities is investigated, together with some of its natural extensions. The study includes the...
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Generalised Bayesian sample copula of order m
In this work we propose a semiparametric bivariate copula whose density is defined by a piecewise constant function on disjoint squares. We obtain...
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A New Copula-Based Approach for Counting: The Distorted and the Limiting Case
The purpose of this chapter is to examine in depth the new algorithm for counting with dependence, assuming at first to have a hierarchy in the...
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Environmental Effects on the Spatiotemporal Variability of Sardine Distribution Along the Portuguese Continental Coast
Scientific tools capable of identifying distribution patterns of species are important as they contribute to improve knowledge about biodiversity and...
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Post-processing Multiensemble Temperature and Precipitation Forecasts Through an Exchangeable Normal-Gamma Model and Its Tobit Extension
Meteorological ensemble members are a collection of scenarios for future weather issued by a meteorological center. Such ensembles nowadays form the...
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WAIC and WBIC for mixture models
In Bayesian statistical inference, an unknown probability distribution is estimated from a sample using a statistical model and a prior. In general,...
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Population (Hierarchical) Models
Simple hierarchical (or population) models for multilevel data, in particular in the case of a multicenter study, are introduced. A hierarchical...
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Statistical Inference I: Randomization Methods for Hypothesis Testing
In the previous four chapters, we focused on using statistics to summarize and explore X-Y relationships in various statistical models. In that data...
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Bias of the additive hazard model in the presence of causal effect heterogeneity
Hazard ratios are prone to selection bias, compromising their use as causal estimands. On the other hand, if Aalen’s additive hazard model applies,...
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Adaptive tests for ANOVA in Fisher–von Mises–Langevin populations under heteroscedasticity
Fisher–von Mises–Langevin distributions are widely used for modeling directional data. In this paper, the problem of testing homogeneity of mean...
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Entropy regularization in probabilistic clustering
Bayesian nonparametric mixture models are widely used to cluster observations. However, one major drawback of the approach is that the estimated...
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