首页 | 本学科首页   官方微博 | 高级检索  
     


Modelling Variability in the Branching Structure of Strawberry Inflorescences
Authors:Martin S. Ridout,Byron J. T. Morgan,&   David R. Taylor
Affiliation:Horticulture Research International, West Malling, UK,;University of Kent, Canterbury, UK
Abstract:The branching structure of inflorescences of the cultivated strawberry ( Fragaria × ananassa Duch.) is very variable. This paper demonstrates that some aspects of this variability are well described by a simple stochastic model of branching that has two adjustable parameters. The model is shown to provide a good fit to data from a set of almost 700 inflorescences of the cultivar Elsanta, collected over two successive years. For one parameter the maximum likelihood estimator is a moment estimator which is fully efficient even if the detailed branching structure of the inflorescences is not recorded. This parameter provides a convenient summary of branching vigour. The maximum likelihood estimator of the second parameter must be determined iteratively and can be quite inefficient unless the full branching structure is recorded. The model demonstrates that branching structure is affected by the order in which inflorescences emerge on the plant.
Keywords:Correlated Bernoulli random variables    Efficiency loss    EM algorithm    Explicit estimate    Fragaria×ananassa    Maximum likelihood estimation    Models for branching structure
相似文献(共20条):
[1]、R. HÖPFNER,M. HOFFMANN,& E. LÖCHERBACH.Non-parametric Estimation of the Death Rate in Branching Diffusions[J].Scandinavian Journal of Statistics,2002,29(4):665-692.
[2]、Functionals of Markovian Branching D-BMAPS[J].随机性模型
[3]、Prakash Narayan.On the Extinction Time of a Continuous time Markov Branching Process[J].Australian & New Zealand Journal of Statistics,1982,24(2):160-164.
[4]、Robert F. Engle ,Tim Bollerslev.Modelling the persistence of conditional variances[J].Econometric Reviews,1986,5(1):1-50.
[5]、Jan-Olof Johansson.Modelling the surface structure of newsprint[J].Journal of applied statistics,2000,27(4):425-438.
[6]、Giuliano Galimberti,Annamaria Manisi,Gabriele Soffritti.Modelling the role of variables in model-based cluster analysis[J].Statistics and Computing,2018,28(1):145-169.
[7]、Burman CF,Wiklund SJ.Modelling and simulation in the pharmaceutical industry--some reflections[J].Pharmaceutical statistics,2011,10(6):508-516.
[8]、Denise Hawkes, Ian Plewis.Modelling non-response in the National Child Development Study[J].Journal of the Royal Statistical Society. Series A, (Statistics in Society),2006,169(3):479-491.
[9]、Søren Asmussen.On The Role of a Certain Eigenvalue in Estimating the Growth Rate of a Branching Process[J].Australian & New Zealand Journal of Statistics,1982,24(2):151-159.
[10]、Michael I. Zeifman ,Dov Ingman.Modelling of unexpected shift in SPC[J].Journal of applied statistics,2005,32(4):375-386.
[11]、G. H. Freeman ,S. D. Jacka,J. E. H. Shaw,J. Q. Smith.Modelling the management of underground water assets[J].Journal of applied statistics,1996,23(2):273-284.
[12]、G. H., Freeman,S. D., Jacka,J. E. H., Shaw,J. Q., Smith.Modelling the management of underground water assets[J].Journal of applied statistics,1996,23(2-3):273-284.
[13]、Thaung, Lwin.Modelling of connected processes[J].Journal of applied statistics,2012,39(8):1623-1641.
[14]、Elena Fabrizi,Alessio Farcomeni,Valerio Gatta.Modelling work history patterns in the Italian labour market[J].Statistical Methods and Applications,2012,21(2):227-247.
[15]、EILEV S.,JANSEN.Statistical Issues in Macroeconomic Modelling*[J].Scandinavian Journal of Statistics,2002,29(2):193-213.
[16]、Barker P,Henderson R.Modelling Converging Hazards in Survival Analysis[J].Lifetime data analysis,2004,10(3):263-281.
[17]、Robin Henderson.Modelling conditional distributions in bivariate survival[J].Lifetime data analysis,1996,2(3):241-259.
[18]、Vlasios, Voudouris,Robert, Gilchrist,Robert, Rigby,John, Sedgwick,Dimitrios, Stasinopoulos.Modelling skewness and kurtosis with the BCPE density in GAMLSS[J].Journal of applied statistics,2012,39(6):1279-1293.
[19]、ALBERTO ROVERATO, LUCA LA ROCCA.On Block Ordering of Variables in Graphical Modelling[J].Scandinavian Journal of Statistics,2006,33(1):65-81.
[20]、H. Romaniuk,C. J. Skinner,& P. J. Cooper.Modelling consumers\' use of products[J].Journal of the Royal Statistical Society. Series A, (Statistics in Society),1999,162(3):407-421.
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号