bibtype C - Conference Paper (international conference)
ARLID 0490663
utime 20240103220150.4
mtime 20180626235959.9
WOS 000455265500044
title (primary) (eng) Central Moments and Risk-Sensitive Optimality in Markov Reward Chains
specification
page_count 7 s.
media_type P
serial
ARLID cav_un_epca*0490662
ISBN 978-80-89962-07-5
title Quantitative Methods in Economics: Multiple Criteria Decision Making XIX
page_num 325-331
publisher
place Bratislava
name University of Economics, Bratislava
year 2018
editor
name1 Reiff
name2 Martin
editor
name1 Gežík
name2 Pavel
keyword Discrete-time Markov reward chains
keyword exponential utility
keyword moment generating functions
keyword formulae for central moments
author (primary)
ARLID cav_un_auth*0101196
full_dept (cz) Ekonometrie
full_dept (eng) Department of Econometrics
department (cz) E
department (eng) E
full_dept Department of Econometrics
share 100
name1 Sladký
name2 Karel
institution UTIA-B
garant K
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2018/E/sladky-0490663.pdf
cas_special
project
ARLID cav_un_auth*0363963
project_id GA18-02739S
agency GA ČR
abstract (eng) There is no doubt that usual optimization criteria examined in the literature on optimization of Markov reward processes, e.g. total discounted or mean reward, may be quite insufficient to characterize the problem from the point of the decision maker. To this end it is necessary to select more sophisticated criteria that reflect also the variability-risk features of the problem (cf. Cavazos-Cadena and Fernandez-Gaucherand (1999), Cavazos-Cadena and Hernández-Hernández (2005), Howard and Matheson (1972), Jaquette (1976), \nKawai (1987), Mandl (1971), Sladký (2005),(2008),(2013), van Dijk and Sladký (2006), White (1988)). \nIn the present paper we consider unichain Markov reward processes with finite state spaces and assume that the generated reward is evaluated by an exponential utility function. Using the Taylor expansion we present explicit formulae for calculating variance and higher central moments of the total reward generated by the Markov reward chain along with its asymptotic behavior and the growth rates if the considered time horizon tends to infinity.
action
ARLID cav_un_auth*0361941
name Quantitative Methods in Economics: Multiple Criteria Decision Making XIX
dates 20180523
mrcbC20-s 20180525
place Trenčianské Teplice
country SK
RIV BB
FORD0 50000
FORD1 50200
FORD2 50202
reportyear 2019
num_of_auth 1
presentation_type PR
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0286786
confidential S
mrcbC86 n.a. Proceedings Paper Economics
arlyear 2018
mrcbU14 SCOPUS
mrcbU24 PUBMED
mrcbU34 000455265500044 WOS
mrcbU63 cav_un_epca*0490662 Quantitative Methods in Economics: Multiple Criteria Decision Making XIX University of Economics, Bratislava 2018 Bratislava 325 331 978-80-89962-07-5
mrcbU67 340 Reiff Martin
mrcbU67 340 Gežík Pavel