Statistical inference for inhomogeneous spatial Markov point processes

• Project/Area Number: 21700319
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Statistical science
• Research Institution: Oita University of Nursing and Health Sciences
• Principal Investigator: SAKAGUCHI Takayuki Oita University of Nursing and Health Sciences, 看護学部, 助教 (10436496)
• Project Period (FY): 2009 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000); Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 非定常マルコフ空間点過程 / TIMモデル / 最尤推定 / 一致性 / 漸近正規性 / エルゴード性 / エルゴード定理

Research Abstract

In this research, we focused on TIM models for spatial point processes and studied asymptotic behavior of maximum likelihood estimators for model parameters. The purpose of this study is to investigate under which conditions consistency and asymptotic normality of the maximum likelihood estimators are assured. Ergodic theorems and central limit theorems for homogeneous spatial processes are keys for our problems. But these theorems cannot be applied directly. Therefore we discussed the applicability of the theorems. Unfortunately we failed to give precise conditions and further research will be needed.

Research Products

• [Journal Article] A simple optimization can improve the performance of single feature polymorphism detection by Affymetrix expression arrays (2010)
  • Author(s): Youko Horiuchi, Yoshiaki Harushima, Hironori Fujisawa, Takako Mochizuki, Masanori Kawakita, Takayuki Sakaguchi, Nori Kurata
  • Journal Title: BMC Genomics vol.11
  • Peer Reviewed
• [Journal Article] A simple optimization can improve the performance of single feature polymorphism detection by Affymetrix expression arrays (2010)
  • Author(s): Youko Horiuchi, Yoshiaki Harushima, Hironori Fujisawa, Takako Mochizuki, Masanori Kawakita, Takayuki Sakaguchi Nori Kurata
  • Journal Title: BMC Genomics Volume: 11
  • Peer Reviewed
• [Journal Article] QTL analyses of temporal and intensity components of home-cage activity in KJR and C57BL/6J strains (2009)
  • Author(s): Umemori, J., Nishi, A., Lionikas, A., Sakaguchi, T., Kuriki, S., Blizard, D.A., Koide, T.
  • Journal Title: BMC Genetics vol.10
  • Peer Reviewed
• [Journal Article] SNEP : Simultaneous detection of nucleotide and expression polymorphisms using Affymetrix GeneChip (2009)
  • Author(s): Fujisawa, H., Horiuchi, Y., Harushima, Y., Takada, T., Eguchi, S., Mochizuki, T., Sakaguchi, T., Shiroishi, T., Kurata, N.
  • Journal Title: BMC Bioinformatics vol.10
  • Peer Reviewed
• [Journal Article] QTL analyses of temporal and intensity components of home cage activity in KJR and C57BL/6J strains (2009)
  • Author(s): Umemori, J., Nishi, A., Lionikas, A., Sakaguchi, T., Kuriki, S., Blizard, D.A., Koide, T.
  • Journal Title: BMC Genetics 10
  • Peer Reviewed
• [Journal Article] SNEP : Simultaneous detection of nucleotide and expression polymorphisms using Affymetrix GeneChip (2009)
  • Author(s): Fujisawa, H_, Horiuchi, Y., Harushima, Y., Takada, T., Eguchi, S., Mochizuki, T., Sakaguchi, T., Shiroishi, T., Kurata, N.
  • Journal Title: BMC Bioinformatics 10
  • Peer Reviewed