We present a general method for constructing a new class of topological Ramsey spaces. Members of such spaces are infinite sequences of products of Fräıssé classes of finite relational structures satisfying the Ramsey property. We extend the Product Ramsey Theorem of Sokič to equivalence relations for finite products of structures from Fräıssé classes of finite relational structures satisfying ...

Motivated by a question of Isbell, we show that ♦ implies there is a non-P-point U ∈ βω \ ω such that neither 〈U ,⊇〉 nor 〈U ,⊇∗〉 is Tukey equivalent to 〈[c],⊆〉. We also show that 〈U ,⊇∗〉 ≡T 〈[c],⊆〉 for some U ∈ βω \ ω, assuming cf(κ) = κ ≤ p = c. We also prove two negative ZFC results about the possible Tukey classes of ultrafilters on ω.

Tukey GH is a transformed normal distribution, having two parameters (g,h). The g parameter represents skew measuring, and the h kurtosis measuring. Our motivation to affect these on behavior for simulation data real data, such as Iraqi stock market Index (ISX60) Standard Poor’s (SP500) index using Bayesian framework. Then, our aim find estimation in this distribution empirical parametric metho...

Depth of the Tukey median is investigated for empirical distributions. A sharper upper bound is provided for this value for data sets in general position. This bound is lower than the existing one in the literature, and more importantly derived under the fixed sample size practical scenario. Several results obtained in this paper are interesting theoretically and useful as well to reduce the co...

In this study, we investigate whether the Tukey M robust regression method provides a solution for data sets suffering from multicollinearity problem. It is observed that high values of variance inflation factors (VIF) which sign multiple linear link among explanatory variables, cannot be controlled by methods work through residual values. The reason fact and VIF result do not produce extreme r...

We study ultrafilters on ω produced by forcing with the quotient of P(ω) by the Fubini square of the Fréchet filter on ω. We show that such an ultrafilter is a weak P-point but not a Ppoint and that the only non-principal ultrafilters strictly below it in the Rudin-Keisler order are a single isomorphism class of selective ultrafilters. We further show that it enjoys the strongest squarebracket ...