The Minimum Distance Method of Testing.
The multisample version of the Lepage test
The two-sample Lepage test, devised for testing equality of the location and scale parameters against the alternative that at least for one of the parameters the equality does not hold, is extended to the general case of sampled populations. It is shown that its limiting distribution is the chi-square distribution with degrees of freedom. This -sample statistic is shown to yield consistent test and a formula for its noncentrality parameter under Pitman alternatives is derived. For some particular...
The non-central g-distribution and its application
The notion of -weak dependence and its applications to bootstrapping time series.
The regenerative process with rare event appears on the second phase.
The Relationship Between Moments of Truncated and Original Distributions Plus Some Other Simple Structural Properties of Weighted Distributions.
The relevation transform and a generalization of the gamma distribution function
The role of functional equations in stochastic model building.
Theoretical aspects of total time on test transform of weighted variables and applications
Although the total time on test (TTT) transform is not a newly discovered concept, it has many applications in various fields. On the other hand, weighted distributions are extensively developed by the statisticians to tackle the insufficiency of the standard statistical distributions in modeling the arising data from real-world problems in the contexts like medicine, ecology, and reliability engineering. This paper develops the TTT transform for the weighted random variables and investigates the...
Three methods for constructing reference prior distributions.
Three methods are proposed for constructing reference prior densities for certain biparametric distribution families. These densities represent approximations to the Bayesian concept of noninformative distribution.
Transformationen, die die Normalverteilung charakterisieren.
Transformations groups of the Andersson-Perlman cone.
Transformations of copulas
Transformations of copulas by means of increasing bijections on the unit interval and attractors of copulas are discussed. The invariance of copulas under such transformations as well as the relationship to maximum attractors and Archimax copulas is investigated.
Tree and local computations in a cross–entropy minimization problem with marginal constraints
In probability theory, Bayesian statistics, artificial intelligence and database theory the minimum cross-entropy principle is often used to estimate a distribution with a given set of marginal distributions under the proportionality assumption with respect to a given “prior” distribution . Such an estimation problem admits a solution if and only if there exists an extension of that is dominated by . In this paper we consider the case that is not given explicitly, but is specified as the...
Trend estimation problems in time-series analysis [Book]
Two families of normality tests based on Polya characterization, and their efficiency.
Two sample nonparametric procedures based on sample coverages for uncensored data.
Two-Sample Rank Tests with Truncated Populations.