36,030 research outputs found
On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications
In this paper, we propose a flexible extended quadratic hazard rate (EQHR) distribution with increasing, decreasing, bathtub and upside-down bathtub hazard rate function. The EQHR density is arc, right-skewed and symmetrical shaped. This distribution is also obtained from compounding mixture distributions. Stochastic orderings, descriptive measures on the basis of quantiles, order statistics and reliability measures are theoretically established. Characterizations of the EQHR distribution are studied via different techniques. Parameters of the EQHR distribution are estimated using the maximum likelihood method. Goodness of fit of this distribution through different methods is studied
Cubic Rank Transmuted Modified Burr III Pareto Distribution: Development, Properties, Characterizations and Applications
In this paper, a flexible lifetime distribution called Cubic rank transmuted modified Burr III-Pareto (CRTMBIII-P) is developed on the basis of the cubic ranking transmutation map. The density function of CRTMBIII-P is arc, exponential, left-skewed, right-skewed and symmetrical shaped. Descriptive measures such as moments, incomplete moments, inequality measures, residual life function and reliability measures are theoretically established. The CRTMBIII-P distribution is characterized via ratio of truncated moments. Parameters of the CRTMBIII-P distribution are estimated using maximum likelihood method. The simulation study for the performance of the maximum likelihood estimates (MLEs) of the parameters of the CRTMBIII-P distribution is carried out. The potentiality of CRTMBIII-P distribution is demonstrated via its application to the real data sets: tensile strength of carbon fibers and strengths of glass fibers. Goodness of fit of this distribution through different methods is studied
Soft and Collinear Factorization and Transverse Momentum Dependent Parton Distribution Functions
In this work we consider how a parton distribution function, with an explicit
transverse momentum dependence can be properly defined in a
regularization-scheme independent manner. We argue that by considering a
factorized form of the transverse momentum dependent spectrum for the
production of a heavy lepton pair in Drell-Yan reaction, one should first split
the relevant soft function into two boost invariant contributions. When those
soft contributions are added to the pure collinear contributions, well-defined
hadronic matrix elements emerge, i.e., the transverse momentum dependent
distributions. We also perform a comparison with Collins' definition.Comment: 9 pages, 3 figures. We modified the discussion about the equivalence
between Collins (JCC) and Echevarria-Idilbi-Scimemi (EIS) definitions of
TMDPDF. The results remain intact. Version to appear in Phys. Lett.
Remarks on the tensor degree of finite groups
The present paper is a note on the tensor degree of finite groups, introduced
recently in literature. This numerical invariant generalizes the commutativity
degree through the notion of nonabelian tensor square. We show two
inequalities, which correlate the tensor and the commutativity degree of finite
groups, and, indirectly, structural properties will be discussed.Comment: 5 pages; to appear with revisions in Filoma
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