메뉴 건너뛰기




Volumn 161, Issue 3, 2003, Pages 239-248

A simple saddlepoint approximation for the equilibrium distribution of the stochastic logistic model of population growth

Author keywords

African bees; Carrying capacity; Cumulant truncation; Saddlepoint approximations; Skewness; Stochastic Iogistic model

Indexed keywords

BEE; CARRYING CAPACITY; ECOLOGICAL MODELING; EQUILIBRIUM; GROWTH MODELING; POPULATION GROWTH; SKEWNESS;

EID: 0037445417     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3800(02)00344-7     Document Type: Article
Times cited : (18)

References (23)
  • 1
    • 0001543849 scopus 로고
    • A comparison of theoretical and empirical results for some stochastic population models
    • Bartlett, M.S., Gower, J.C., Leslie, P.H., 1960. A comparison of theoretical and empirical results for some stochastic population models. Biometrika 47, 1-11.
    • (1960) Biometrika , vol.47 , pp. 1-11
    • Bartlett, M.S.1    Gower, J.C.2    Leslie, P.H.3
  • 2
    • 0001367156 scopus 로고
    • Saddlepoint approximation in statistics
    • Daniels, H.E., 1954. Saddlepoint approximation in statistics. Ann. Math. Stat. 25, 631-650.
    • (1954) Ann. Math. Stat. , vol.25 , pp. 631-650
    • Daniels, H.E.1
  • 3
    • 0003175161 scopus 로고
    • Tail probability approximations
    • Daniels, H.E., 1987. Tail probability approximations. Int. Stat. Rev. 55, 37-48.
    • (1987) Int. Stat. Rev. , vol.55 , pp. 37-48
    • Daniels, H.E.1
  • 4
    • 0034609132 scopus 로고    scopus 로고
    • A general approach to the modelling of trophic chains
    • Dilao, R., Domingos, T., 2000. A general approach to the modelling of trophic chains. Ecol. Model. 132, 191-202.
    • (2000) Ecol. Model. , vol.132 , pp. 191-202
    • Dilao, R.1    Domingos, T.2
  • 5
    • 0033409355 scopus 로고    scopus 로고
    • Explaining the saddlepoint approximation
    • Goutis, C., Casella, G., 1999. Explaining the saddlepoint approximation. Am. Stat. 53, 216-224.
    • (1999) Am. Stat. , vol.53 , pp. 216-224
    • Goutis, C.1    Casella, G.2
  • 6
    • 0030727588 scopus 로고    scopus 로고
    • On local extinction in a metapopulation
    • Grasman, J., HilleRisLambers, R., 1997. On local extinction in a metapopulation. Ecol. Model. 103, 71-80.
    • (1997) Ecol. Model. , vol.103 , pp. 71-80
    • Grasman, J.1    HilleRisLambers, R.2
  • 7
    • 0030302994 scopus 로고    scopus 로고
    • Lack of predictability in model ecosystems based on coupled logistic equations
    • Hastings, H.M., Rumignani, D.J., Vassalotti, A.G., Weiss, M.T., Wu, Y., 1996. Lack of predictability in model ecosystems based on coupled logistic equations. Ecol. Model. 92, 209-214.
    • (1996) Ecol. Model. , vol.92 , pp. 209-214
    • Hastings, H.M.1    Rumignani, D.J.2    Vassalotti, A.G.3    Weiss, M.T.4    Wu, Y.5
  • 8
    • 0033418928 scopus 로고    scopus 로고
    • Practical saddlepoint approximations
    • Huzurbazar, S., 1999. Practical saddlepoint approximations. Am. Stat. 53, 225-232.
    • (1999) Am. Stat. , vol.53 , pp. 225-232
    • Huzurbazar, S.1
  • 9
    • 0030618321 scopus 로고    scopus 로고
    • A generalized logistic model for photosynthetic growth
    • Invernizzi, S., Terpia, K., 1997. A generalized logistic model for photosynthetic growth. Ecol. Model. 94, 231-242.
    • (1997) Ecol. Model. , vol.94 , pp. 231-242
    • Invernizzi, S.1    Terpia, K.2
  • 11
    • 0029839711 scopus 로고    scopus 로고
    • On approximating the moments of the equilibrium distribution of a stochastic logistic model
    • Matis, J.H., Kiffe, T.R., 1996. On approximating the moments of the equilibrium distribution of a stochastic logistic model. Biometrics 52, 980-991.
    • (1996) Biometrics , vol.52 , pp. 980-991
    • Matis, J.H.1    Kiffe, T.R.2
  • 12
    • 0033213413 scopus 로고    scopus 로고
    • Effects of immigration on some stochastic logistic models: A cumulant truncation analysis
    • Matis, J.H., Kiffe, T.R., 1999. Effects of immigration on some stochastic logistic models: A cumulant truncation analysis. Theor. Popul. Biol. 56, 139-161.
    • (1999) Theor. Popul. Biol. , vol.56 , pp. 139-161
    • Matis, J.H.1    Kiffe, T.R.2
  • 14
    • 0028163464 scopus 로고
    • Use of birth-death-migration processes for describing the spread of insect populations
    • Matis, J.H., Kiffe, T.R., Otis, G.W., 1994. Use of birth-death-migration processes for describing the spread of insect populations. Environ. Entomol. 23, 18-28.
    • (1994) Environ. Entomol. , vol.23 , pp. 18-28
    • Matis, J.H.1    Kiffe, T.R.2    Otis, G.W.3
  • 15
    • 0031999077 scopus 로고    scopus 로고
    • On the cumulants of population size for the stochastic power law logistic model
    • Matis, J.H., Kiffe, T.R., Parthasarathy, P.R., 1998. On the cumulants of population size for the stochastic power law logistic model. Theor. Popul. Biol. 53, 16-29.
    • (1998) Theor. Popul. Biol. , vol.53 , pp. 16-29
    • Matis, J.H.1    Kiffe, T.R.2    Parthasarathy, P.R.3
  • 16
    • 0027061828 scopus 로고
    • Use of the gamma distribution for predicting arrival times of invading insect populations
    • Matis, J.H., Rubink, W.L., Makela, M., 1992. Use of the gamma distribution for predicting arrival times of invading insect populations. Environ. Entomol. 21,431-440.
    • (1992) Environ. Entomol. , vol.21 , pp. 431-440
    • Matis, J.H.1    Rubink, W.L.2    Makela, M.3
  • 19
    • 0031747972 scopus 로고    scopus 로고
    • Saddlepoint approximations for stochastic processes with truncated cumulant generating functions
    • Renshaw, E., 1998. Saddlepoint approximations for stochastic processes with truncated cumulant generating functions. J. Math. Appl. Med. Biol. 15, 41-52.
    • (1998) J. Math. Appl. Med. Biol. , vol.15 , pp. 41-52
    • Renshaw, E.1
  • 20
    • 0033733290 scopus 로고    scopus 로고
    • Applying the saddlepoint approximation to bivariate stochastic processes
    • Renshaw, E., 2000. Applying the saddlepoint approximation to bivariate stochastic processes. Math. Biosci. 168, 57-75.
    • (2000) Math. Biosci. , vol.168 , pp. 57-75
    • Renshaw, E.1
  • 23
    • 34548703285 scopus 로고
    • General saddlepoint approximations in the boot-strap
    • Wang, S., 1992. General saddlepoint approximations in the boot-strap. Stat. Prob. Lett. 13, 61-66.
    • (1992) Stat. Prob. Lett. , vol.13 , pp. 61-66
    • Wang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.