This paper demonstrates that the logarithm of the variate itself can be used in the calculation of differential entropy among random variables known to be multiples and powers of a common underlying variate. It also presents a function that gives the entropy of these related variates, using only statistics of the logarithm of the variate plus a constant, regardless of the nature or the paramete...

the focal objective of this study is to analyze and explore the co-movement of pakistan stock market (kse-100) with the stock market of developed countries (us, uk, canada, australia, germany, japan, france and neither land) which have portfolio investment in pakistan by applying co-integration approach using johansen and juselius multivariate and bi variate co-integration. secondary data of st...

This work explores the application of fast assembly and formation strategy from [9, 17] to trimmed bi-variate parameter spaces. Two concepts for treatment basis functions cut by trimming curve are investigated: one employs a hybrid Gauss-point-based approach, other computes discontinuous weighted quadrature rules. The concepts’ accuracy efficiency examined mass matrices their $$L^2$$ -projectio...

The study of plant trait spectra and their association with trade-offs in resource use strategy has greatly advanced our understanding vascular function, yet remain poorly studied bryophytes, particularly outside the Sphagnum genus. Here, we measured 25 traits related to carbon, nutrient water conservation 60 moss canopies (each dominated by one 15 species) across diverse boreal forest habitats...

Spatial statistical measures have been applied to Ethiopia’s Demographic and Health Survey data (EDHS), mostly at the national level. However, there is concern that most applications violate basic principles of statistics regarding autocorrelation, or are not cognizant first law geography which states all things related but near more related. This study investigates local variations i...

Consider a population of particles and k fixed particle classifications labeled type 1, type 2, ... , type k. Suppose that to each classification there corresponds exactly one k-variate p.g.f. and that each particle of the population is classified by one and only one type. Further, assume that after each unit of time, each particle, independently of the other particles, splits or disintegrates ...