Next to the normal distribution, the exponential distribution is possibly the most widely referenced continuous probability law. It appears as a textbook or an inclass example in introductory probability and statistics courses, and constitutes the A and B of reliability and life testing. There exist numerous characterizations of the exponential distribution, most of them based on the "lack of m...

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A probability distribution function F is said to be symmetric, when 1−F (x)−F (−x) = 0 for all x ∈ IR. Given a sequence of alternatives contiguous to a certain symmetric F0, the authors are concerned with testing for the null hypothesis of symmetry. The proposed tests are consistent against any nonsymmetric alternative, and their power with respect to the given sequence can easily be optimized....

We consider the self-similar phase space with reduced fractal dimension d being distributed within domain 0 < d < 1 with spectrum f(d). Related thermostatistics is shown to be governed by the Tsallis’ formalism of the non-extensive statistics, where role of the non-additivity parameter plays inverted value τ̄(q) ≡ 1/τ(q) > 1 of the multifractal function τ(q) = qd(q)− f(d(q)), being the specific ...

This article handles the problem of validating the results of nested (as opposed to ”flat”) clusterings. It shows that standard external validation indices used for partitioning clustering validation, like Rand statistics, Hubert Γ statistic or F-measure are not applicable in nested clustering cases. Additionally to the work, where F-measure was adopted to hierarchical classification as hF-meas...

The mutation process at microsatellite loci typically occurs at high rates and with stepwise changes in allele sizes, features that may introduce bias when using classical measures of population differentiation based on allele identity (e.g., F(ST), Nei's Ds genetic distance). Allele size-based measures of differentiation, assuming a stepwise mutation process [e.g., Slatkin's R(ST), Goldstein e...

medical statistics (biostatistics), as a vital essential part of modem life, does raise some fundamental ethical issues. surprisingly, this aspect seems to have been totally ignored by books on medical ethics. this paper discusses how the statistical aspects affect the ethics. the relation between biostatistics and medical research is explored. all stages of a medical research exercise are vuln...

1 ALLNUTT, J.E., and HAIDARA, F.: 'Ku-band diurnal rain fade statistics from three, two-year, earth-space experiments in equatorial Africa'. Proc. URSI Commission F Open Symp. Climatic Parameters in Radiowave Propagation Prediction, Ottawa, Canada, 27-29 April 1998, pp. 159-162 2 ALLNUTT, J.E., and HAIDARA, F.: 'Ku-band fade duration data from three, two-year, earth-space experiments in equator...

the aim of this work was to optimize the coagulation-flocculation (cf) process applied tomunicipal wastewaters (ww). optimization of cf was performed to minimize chemical oxygen demand(cod), turbidity, sludge produced, and some metals in sludge. a box-behnken design was used to evaluate the effects and interactions of three factors such as type of biopolymer (guar, mesquite seed gum and opuntia...