Tokyo University of Science Repository for Academic Resources / 東京理科大学学術リポジトリ
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Maximal regularity for the heat equation with various boundary conditions in an infinite layer
Get PDFThis paper treats resolvent Lq estimate and maximal Lp-Lq regularity
for the heat equation with various boundary conditions in an infinite layer.
We need to consider two boundary conditions on upper boundary and lower
boundary. We are able to choose any pair of Dirichlet, Neumann and Robin
boundary conditions. We construct the solutions of Fourier multiplier operators
and we use a theorem for an integral operator, which derives Lq-boundedness
and Lp-Lq boundedness. The key is that the holomorphic symbols can be properly
estimated from above.departmental bulletin pape
Parameter estimation and forecasts for an integrated Lee-Carter model
Get PDFThe model to represent mortality that Lee and Carter proposed is
still widely used. They proposed a method to estimate the parameters in the
model with mortality data using the singular value decomposition. In addition,
in the forecasting of future mortality, the time-dependent parameter is linearly
estimated using ARIMA (0,1,0). This method treats the parameters as nonstochastic
for part of the model construction using observed data, while it is
stochastic for the forecasting of future mortality. This results in inconsistencies
throughout the whole model. Girosi and King interpreted the parameters
in the Lee-Carter model as random variables and provided an integrated expression
for the two parts, which derived a single stochastic model; however,
the covariance matrix in the single stochastic model is not the one by an ordinal
ARIMA(0,1,0) and an estimation method was not clearly discussed, and
estimating the parameters in their model appears to be difficult owing to the
complicated covariance matrix. Therefore, this study proposes a new integrated
model of the Lee-Carter model based on Girosi and King’s interpretation. Our
model is defined as a stochastic model that does not conflict with the concepts
of Lee and Carter’s existing model with the covariance matrix deduced by Girosi
and King. Furthermore, we provide an estimation method for the parameters
in our model by applying the idea of conditional distributions used in classical
AR and MA models.departmental bulletin pape
The Jewish Society in wartime Shanghai as reported in Tairiku Shinpo (Part V: February-May 1941)
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Letter Exchange between Japanese and U.S. Junior High School Students in Their Native and Target Languages
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Book Review Takashi Ikeda & Yoshitaro Hotta, 2021, Philosophy of Discrimination: An Introduction
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Studies on adsorbed species and photoemission during the NEA surface formation process on III-Vsemiconductors
Get PDF東京理科大学博士（理学）2022doctoral thesi
