Random Sum Representation Of The Noncentral Chi-Square Random Variable.
Randomized goodness of fit tests
Classical goodness of fit tests are no longer asymptotically distributional free if parameters are estimated. For a parametric model and the maximum likelihood estimator the empirical processes with estimated parameters is asymptotically transformed into a time transformed Brownian bridge by adding an independent Gaussian process that is suitably constructed. This randomization makes the classical tests distributional free. The power under local alternatives is investigated. Computer simulations...
Rank of tensors of -out-of- functions: An application in probabilistic inference
Bayesian networks are a popular model for reasoning under uncertainty. We study the problem of efficient probabilistic inference with these models when some of the conditional probability tables represent deterministic or noisy -out-of- functions. These tables appear naturally in real-world applications when we observe a state of a variable that depends on its parents via an addition or noisy addition relation. We provide a lower bound of the rank and an upper bound for the symmetric border rank...
Rank order statistics for unequal samples.
Rank statistics for two-sample location and scale problem for rounded-off data
Rank Test for Testing Randomness of a Regression Coefficient in a Linear Regression Model.
Rank tests for the hypotheses concerning unidentifiable objects
Rate of Convergence in the Central Limit Theorem and in the Strong Law of Large Numbers for von Mises Statistics.
Rate of Convergence to Normality for U-Statistics with Kernel of Arbitrary Degree.
Rates of Convergence for the Distance Between Distribution Function Estimators.
Record indices and age-ordered frequencies in exchangeable Gibbs partitions.
Records and concomitants.
Recurrence relations for conditional moment generating functions of order statistics and record values
In this paper, recurrence relations for conditional moment generating functions and conditional moments of order statistics and record values based on random samples drawn from members of a class of doubly truncated distributions Ád are obtained.
Recurrence relations for single and product moments of k-th lower record values from the inverse distributions of Pareto's type and characterizations
We give recurrence relations for single and product moments of k-th lower record values from the inverse Pareto, inverse generalized Pareto and inverse Burr distributions. We present also characterization conditions for these distributions.
Recursive Bayesian estimation under memory limitation
Recursive formulas for aggregate claim distributions
Régression avec résidus spatialement autocorrélés et recherche de la tendance spatiale
Regression quantiles and trimmed least squares estimator under a general design
Regular Simplices and Gaussian Samples.
Relations for characteristic functions of k-th record values from generalized Pareto and inverse generalized Pareto distribution
Relations for the marginal, joint, conditional characteristic functions of k-th upper and lower record values from generalized Pareto distribution and inverse generalized Pareto distribution are given.