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Masaaki Kijima
Masaaki Kijima (born 1957) is a Japanese economist and mathematician. The Dean of the School of Informatics and Data Science at Hiroshima University, he has made significant contributions to applied probability and financial engineering. The most familiar of his contributions in the field of applied probability was the development of the G-renewal process. Kijima graduated with a bachelor's degree from the Tokyo Institute of Technology in 1980, then obtained a Ph.D. in business from the University of Rochester in 1986. Work Kijima and Sumita were the first to develop the generalized renewal process (GRP). Two years later, Kijima, Morimura, and Suzuki adapted the G-Renewal process to model the failure process of repairable systems with general repair conditions through the notion of the virtual age. Published books * ''Stochastic Processes with Applications to Finance 2nd Edition'', Kijima Masaaki, CRC Press LLC, April 2013, * ''Stochastic Processes with Applications to Finan ...
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Generalized Renewal Process
In the mathematical theory of probability, a generalized renewal process (GRP) or G-renewal process is a stochastic point process used to model failure/repair behavior of repairable systems in reliability engineering. Poisson point process is a particular case of GRP. Probabilistic model Virtual age The G-renewal process is introduced by Kijima and Sumita through the notion of the ''virtual age''. :y_i = q t_i ::where: :: t_i and y_i is real and virtual age (respectively) of the system at/after the ''i'' repair, :: q is the ''restoration factor'' (a.k.a., repair effectiveness factor), :::: q=0 , represents the condition of a perfect repair, where the system age is reset to zero after the repair. This condition corresponds to the ''Ordinary Renewal Process''. :::: q=1 , represents the condition of a minimal repair, where the system condition after the repair remains the same as right before the repair. This condition corresponds to the ''Non-Homogeneous Poisson Process'' ...
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Academic Staff Of Hiroshima University
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary education, secondary or tertiary education, tertiary higher education, higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and Skills, skill, north of Ancient Athens, Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the Gymnasium (ancient Greece), gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive Grove (nature), grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 3 ...
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1957 Births
1957 ( MCMLVII) was a common year starting on Tuesday of the Gregorian calendar, the 1957th year of the Common Era (CE) and ''Anno Domini'' (AD) designations, the 957th year of the 2nd millennium, the 57th year of the 20th century, and the 8th year of the 1950s decade. Events January * January 1 – The Saarland joins West Germany. * January 3 – Hamilton Watch Company introduces the first electric watch. * January 5 – South African player Russell Endean becomes the first batsman to be dismissed for having ''handled the ball'', in Test cricket. * January 9 – British Prime Minister Anthony Eden resigns. * January 10 – Harold Macmillan becomes Prime Minister of the United Kingdom. * January 11 – The African Convention is founded in Dakar. * January 14 – Kripalu Maharaj is named fifth Jagadguru (world teacher), after giving seven days of speeches before 500 Hindu scholars. * January 15 – The film '' Throne of Blood'', Akira Kurosawa's reworking of ''Macb ...
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