Wiener process distributions of the ‘‘arc-sine law” type

The Uniform Mixture of Generalized Arc-sine Distributions

A single, tractable, special case of the problem of continuous mixtures of beta distributions over their parameters is considered. This is the uniform mixture of generalized arc-sine distributions which, curiously, turns out to be linked by transformation to the Cauchy distribution. AMS 2000 subject classification. 62E15.

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

New Inequalities of Shafer-Fink Type for Arc Hyperbolic Sine

Beyond the sine law of plant gravitropism.

T he great German plant physiologist Wilhelm Pfeffer rightly claimed that “no plant is entirely without the power of movement” (1). If this fact remains underappreciated, it is perhaps because plant movements typically unfold over minutes, hours, or days, and thus exceed the attention span of all but the most dedicated observer. Among the large array of plant movements, the tropisms—that is, th...

On a Generalized Arc-sine Law for One-dimensional Diffusion Processes

Laws of the occupation times on a half line are studied for one-dimensional diffusion processes. The asymptotic behavior of the distribution function is determined in terms of the speed measure.