In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the $n^{th}$ moment, the median, the mode and the 100$k$-percentage points of the generalized distribution were established. Estimation of the parameters of the distribution through maximum likelihood method was accomplished with the aid of c...

In a series of nonsmooth versions of the Pontryagin Maximum Principle, we used generalized differentials of set-valued maps, flows, and abstract variations. Bianchini and Stefani have introduced a notion of possibly high-order variational vector that has the summability property. We consider a slightly more general class of variational vectors than that defined by Bianchini and Stefani, and pro...

Generalized characteristic functions extend characteristic functions of ‘classical’ TU-games by assigning a real number to every ordered coalition being a permutation of any subset of the player set. Such generalized characteristic functions can be applied when the earnings or costs of cooperation among a set of players depends on the order in which the players enter a coalition. In the literat...

This paper introduces the notion of decomposability in an extension and relative decomposability for first-order theories. We describe several basic facts connected with these notions and formulate a criterion of relative decomposability.

In this note we formulate the Kalman-YakuboviE-Popov Lemma for generalized first-order systems, both in continuousand discrete-time.

The Hellinger metric and several divergence measures for multivariate density functions are applied to measure distances between different models of generalized order statistics, such as common order statistics, sequential order statistics, progressively type-II censored order statistics, record values, k-th record values, and Pfeifer record values. Explicit expressions of divergences and dista...

Acknowledgements I wish to express my sincere gratitude to my supervisor Professor Jouko Väänänen for introducing me to this subject and for his inspiring guidance and support during my doctoral studies. I am also grateful to Professor Lauri Hella and Docent Kerkko Luosto for carefully reading the manuscript and making valuable comments on it. I am indebted to the Graduate School of Mathematica...

We study definability of second-order generalized quantifiers. We show that the question whether a second-order generalized quantifier Q1 is definable in terms of another quantifier Q2, the base logic being monadic second-order logic, reduces to the question if a quantifier Q1 is definable in FO(Q2, <,+,×) for certain first-order quantifiers Q1 and Q2. We use our characterization to show new de...

Memristor is a new electrical element which has been predicted and described in 1971 by Leon O. Chua and for the first time realized by HP laboratory in 2008. Chua proved that memristor behavior could not be duplicated by any circuit built using only the other three elements (resistor, capacitor, inductor), which is why the memristor is truly fundamental. Memristor is a contraction of memory re...

Ordinary order statistics and record values, among others, are included in the model of generalized order statistics introduced in Kamps (1995). In this paper, we establish stochastic comparisons among spacings of generalized order statistics, which extend and complete some known results in the literature.