We aim to construct a general framework for portfolio management in continuous time, encompassing both stocks and bonds. In these lecture notes we give an overview of the state of the art of optimal bond portfolios and we re-visit main results and mathematical constructions introduced in our previous publications (Ann. Appl. Probab. 15, 1260–1305 (2005) and Fin. Stoch. 9, 429–452 (2005)). A sol...

In the present note, an alternative proof is supplied for Theorem 1 in [N. Elezović, C. Giordano and J. Pečarić, The best bounds in Gautschi’s inequality, Math. Inequal. Appl. 3 (2000), 239–252.].

although the use of metaphorical markers in corpora has been studied to a largeextent (e.g., glucksberg & keysar 1993; skorczynska & deignan, 2006; sznjder,2005), no attempt to the best of the researchers' knowledge has been made todescribe metaphorical marking in a comparative analysis of 2 corpora in bothnational and international journals of applied linguistics in iran. the gap envis...

This paper considers a generalized model of [G. Skoulakis and R. J. Adler, Ann. Appl. Probab., 11 (2001), pp.488-543]. We show the existence of superprocesses in a random medium (flow) with location dependent branching. Technically, we make use of a duality relation to establish the uniqueness of the martingale problem and to obtain the moment formulas which generalize those of [G. Skoulakis an...

We consider the classical optimal dividend control problem which was proposed by de Finetti [Trans. XVth Internat. Congress Actuaries 2 (1957) 433–443]. Recently Avram, Palmowski and Pistorius [Ann. Appl. Probab. 17 (2007) 156–180] studied the case when the risk process is modeled by a general spectrally negative Lévy process. We draw upon their results and give sufficient conditions under whic...

In this paper we find the explicit solution of the equation A∗X + X∗A = B for linear bounded operators on Hilbert spaces, where X is the unknown operator. This solution is expressed in terms of the MoorePenrose inverse of the operator A. Thus, results of J. H. Hodges (Ann. Mat. Pura Appl. 44 (1957) 245–550) are extended to the infinite dimensional settings. Department of Mathematics, Faculty of...

the blue ocean strategy aims to create business in the fields which didn’t exist before. this research has been developed with the aim of designing a blue ocean strategy as a modern solution. the current study is a functional one situated in the descriptive survey group, considering the nature of the subject and the goals. the judgment sampling is applied to determine the criteria frameworks an...