Luminous Blue Variables (LBVs) are believed to be evolved, extremely massive stars close to the Eddington Limit and hence prone to bouts of large-scale, unstable mass loss. I discuss current understanding of the evolutionary state of these objects, the role duplicity may play and known physical characteristics of these stars using the X-ray luminous LBVs Eta Carinae and HD 5980 as test cases.

When selecting a set of study variables, social work researchers frequently test correlations between the outcome variables (i.e., dependent variables) and theoretically relevant predictor variables (i.e., independent variables). In some instances, one or more of the predictor variables are uncorrelated with the outcome variable. This situation poses the question of whether researchers’ multipl...

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The paper deals with a problem proposed by Uriel Feige in 2005: if X1, . . . , Xn is a set of independent nonnegative random variables with expectations equal to 1, is it true that P ( ∑n i=1 Xi < n + 1) > 1 e ? He proved that P ( ∑n i=1Xi < n + 1) > 1 13 . In this paper we prove that infimum of the P ( ∑n i=1Xi < n + 1) can be achieved when all random variables have only two possible values, a...

We will examine double sequence to double sequence transformation of independent identically distribution random variables with respect to four-dimensional summability matrix methods. The main goal of this paper is the presentation of the following theorem. If maxk,l|am,n,k,l| maxk,l|am,kan,l| O m−γ1 O n−γ2 , γ1, γ2 > 0, then E|X̆|1 1/γ1 < ∞ and E| ̆̆ X|1 1/γ2 < ∞ imply that Ym,n → μ almost sure P...

We obtain an improvement of strong laws of large numbers for independent fuzzy random variables.

The main purpose of this research is the study on effect of Financial and Operating Leverage and Venture Capital on Tobin's Q ratio amongst companies listed in Tehran Stock Exchange. In this research, the Holdings and Investment companies are used as statistical samples and 73 enterprises that are listed in Tehran Stock Exchange within 2001 to 2016 have been studied. The results driven by this ...

♣ Let X and Y be two discrete r.v.'s and let R be the corresponding space of X and Y. The joint p.d.f. of X = x and Y = y, denoted by f (x, y) = P (X = x, Y = y), has the following properties: (a) 0 ≤ f (x, y) ≤ 1, f (x, y) ≥ 0 for − ∞ < x, y < ∞. ∞ −∞ ∞ −∞ f (x, y)dxdy = 1. y f (x, y) (∞ −∞ f (x, y)dy), x ∈ R x. ♣ The marginal p.d.f. of Y is defined as f Y (y) = x f (x, y) (∞ −∞ f (x, y)dx), y...