504
Views
7
CrossRef citations to date
0
Altmetric
Review Articles

Modeling of soybean yield using symmetric, asymmetric and bimodal distributions: implications for crop insurance

ORCID Icon, , ORCID Icon &
Pages 1920-1937 | Received 08 Mar 2017, Accepted 14 Nov 2017, Published online: 28 Nov 2017

References

  • H. Akaike, A new look at the statistical model identification, IEEE Trans. Autom. Control 19 (1974), pp. 716–723. doi: 10.1109/TAC.1974.1100705
  • H. Akaike, Information theory and an extension of the maximum likelihood principle, in Selected Papers of Hirotugu Akaike, Springer, New York, NY, 1998, pp. 199–213.
  • C. Alexander, G.M. Cordeiro, E.M. Ortega, and J.M. Sarabia, Generalized beta-generated distributions, Comput. Statist. Data. Anal. 56 (2012), pp. 1880–1897. doi: 10.1016/j.csda.2011.11.015
  • M. Alizadeh, M. Emadi, M. Doostparast, G.M. Cordeiro, E.M. Ortega, and R.R. Pescim, A new family of distributions: The Kumaraswamy odd log-logistic, properties and applications, Hacettepe J. Math. Stat. 44 (2015).
  • M. Alizadeh, S. MirMostafee, E.M. Ortega, T.G. Ramires, and G.M. Cordeiro, The odd log-logistic logarithmic generated family of distributions with applications in different areas, J. Stat. Distrib. Appl. 4 (2017), p. 6. doi: 10.1186/s40488-017-0062-7
  • B.A. Babcock and D.A. Hennessy, Input demand under yield and revenue insurance, Am. J. Agric. Econ. 78 (1996), pp. 416–427. doi: 10.2307/1243713
  • R.R. Botts and J.N. Boles, Use of normal-curve theory in crop insurance ratemaking, J. Farm Econ. 40 (1958), pp. 733–740. doi: 10.2307/1235383
  • T.S. Breusch and A.R. Pagan, A simple test for heteroscedasticity and random coefficient variation, Econometrics J. Economia Soc. 47 (1979), pp. 1287–1294. doi: 10.2307/1911963
  • C.S. Brisolara, Proposições para o desenvolvimento do seguro de receita agrícola no brasil: do modelo teórico ao cálculo das taxas de prêmio, Ph.D. diss., Escola Superior de Agricultura Luiz de Queiroz, 2013.
  • K.H. Coble and T.O. Knight, Crop Insurance as a tool for price and yield risk management. In: R.E Just and R.D Pope, eds., A Comprehensive Assessment of the Role of Risk in U.S. Agriculture. Natural Resource Management and Policy, Vol. 23, Springer, Boston, MA, 2001.
  • K.H. Coble, T.O. Knight, R.D. Pope, and J.R. Williams, Modeling farm-level crop insurance demand with panel data, Am. J. Agric. Econ. 78 (1996), pp. 439–447. doi: 10.2307/1243715
  • J.N.D. Cruz, E.M. Ortega, and G.M. Cordeiro, The log-odd log-logistic Weibull regression model: Modelling, estimation, influence diagnostics and residual analysis, J. Statist. Comput. Simul. 86 (2016), pp. 1516–1538.
  • J.N.D. Cruz, E.M. Ortega, G.M. Cordeiro, A.K. Suzuki, and F.L. Mialhe, Bivariate odd-log-logistic-Weibull regression model for oral health-related quality of life, Comm. Statist. Appl. Methods 24 (2017), pp. 271–290. doi: 10.5351/CSAM.2017.24.3.271
  • J.N. da Cruz, A nova famılia de distribuiçoes odd log-logıstica: teoria e aplicaçoes, Ph.D. diss., Escola Superior de Agricultura Luiz de Queiroz, 2016.
  • A. da Silva Braga, G.M. Cordeiro, and E.M. Ortega, A new skew-bimodal distribution with applications, Comm. Statist. Theory Methods (2017), 1–19.
  • A. da Silva Braga, G.M. Cordeiro, E.M. Ortega, and J.N. da Cruz, The odd log–logistic normal distribution: Theory and applications in analysis of experiments, J. Statist. Theory Pract. 10 (2016), pp. 311–335. doi: 10.1080/15598608.2016.1141127
  • R.H. Day, Probability distributions of field crop yields, J. Farm Econ. 47 (1965), pp. 713–741. doi: 10.2307/1236284
  • C.N. de Abastecimento, CONAB, Monitoramento agrícola – cultivos de inverno (safra 2015) e de verão (safra 2015/16) (2016). Available at http://www.conab.gov.br/OlalaCMS/uploads/arquivos/16_02_22_10_03_02_boletim_a16_v5_n01_e_02.pdf.
  • N. Eugene, C. Lee, and F. Famoye, Beta-normal distribution and its applications, Comm. Statist. Theory 31 (2002), pp. 497–512. doi: 10.1081/STA-120003130
  • P. Gallagher, Us soybean yields: Estimation and forecasting with nonsymmetric disturbances, Am. J. Agric. Econ. 69 (1987), pp. 796–803. doi: 10.2307/1242190
  • B.K. Goodwin, Problems with market insurance in agriculture, Am. J. Agric. Econ. 83 (2001), pp. 643–649. doi: 10.1111/0002-9092.00184
  • B.K. Goodwin and A.P. Ker, Nonparametric estimation of crop yield distributions: Implications for rating group-risk crop insurance contracts, Am. J. Agric. Econ. 80 (1998), pp. 139–153. doi: 10.2307/3180276
  • B.K. Goodwin and O. Mahul, Risk modeling concepts relating to the design and rating of agricultural insurance contracts, World Bank Policy Research Working Paper, 2004.
  • J.L. Harwood, R. Heifner, K. Coble, J. Perry, and A. Somwaru, Managing risk in farming: concepts, research, and analysis, US Department of Agriculture, Economic Research Service, Washington, DC, 1999.
  • D.A. Hennessy, B.A. Babcock, and D.J. Hayes, Budgetary and producer welfare effects of revenue insurance, Am. J. Agric. Econ. 79 (1997), pp. 1024–1034. doi: 10.2307/1244441
  • Ipardes, Instituto paranaense de desenvolvimento econômico e social. base de dados do estado (bdeweb), 2015. Available at http://www.ipardes.pr.gov.br/imp/index.php.
  • R.E. Just and Q. Weninger, Are crop yields normally distributed?, Am. J. Agric. Econ. 81 (1999), pp. 287–304. doi: 10.2307/1244582
  • A.P. Ker and K. Coble, Modeling conditional yield densities, Am. J. Agric. Econ. 85 (2003), pp. 291–304. doi: 10.1111/1467-8276.00120
  • A.P. Ker and B.K. Goodwin, Nonparametric estimation of crop insurance rates revisited, Am. J. Agric. Econ. 82 (2000), pp. 463–478. doi: 10.1111/0002-9092.00039
  • C.P. Lawas, Crop insurance premium rate impacts of flexible parametric yield distributions: an evaluation of the johnson family of distributions, Ph.D. diss., Texas Tech University, 2005.
  • C.T. Lin, Y.L. Huang, and N. Balakrishnan, A new method for goodness-of-fit testing based on type-ii right censored samples, IEEE Trans. Reliab. 57 (2008), pp. 633–642. doi: 10.1109/TR.2008.2005860
  • G.M. Ljung and G.E. Box, On a measure of lack of fit in time series models, Biometrika 65 (1978), pp. 297–303. doi: 10.1093/biomet/65.2.297
  • MAPA, Ministério da agricultura, pecuária e abastecimento, 2016. Available at http://www.agricultura.gov.br/politica-agricola/seguro-rural.
  • G.J. Miqueleto, Contribuições para o desenvolvimento do seguro agrícola de renda para o brasil: evidências teóricas e empíricas, Ph.D. diss., Escola Superior de Agricultura Luiz de Queiroz, 2011.
  • C.B. Moss and J.S. Shonkwiler, Estimating yield distributions with a stochastic trend and nonnormal errors, Am. J. Agric. Econ. 75 (1993), pp. 1056–1062. doi: 10.2307/1243993
  • C.H. Nelson and P.V. Preckel, The conditional beta distribution as a stochastic production function, Am. J. Agric. Econ. 71 (1989), pp. 370–378. doi: 10.2307/1241595
  • V.A. Ozaki, Métodos atuariais aplicados à determinação da taxa de prêmio de contratos de seguro agrícola: um estudo de caso, Ph.D. diss., Universidade de São Paulo, 2005.
  • V. Ozaki and R.S. Silva, Bayesian ratemaking procedure of crop insurance contracts with skewed distribution, J. Appl. Stat. 36 (2009), pp. 443–452. doi: 10.1080/02664760802474256
  • V.A. Ozaki, B.K. Goodwin, and R. Shirota, Parametric and nonparametric statistical modelling of crop yield: Implications for pricing crop insurance contracts, Appl. Econ. 40 (2008), pp. 1151–1164. doi: 10.1080/00036840600749680
  • R. Pakyari and N. Balakrishnan, A general purpose approximate goodness-of-fit test for progressively type-ii censored data, IEEE Trans. Reliab. 61 (2012), pp. 238–244. doi: 10.1109/TR.2012.2182811
  • R.R. Pescim, G.M. Cordeiro, C.G. Demétrio, E.M. Ortega, and S. Nadarajah, The new class of Kummer beta generalized distributions, SORT 36 (2012), pp. 153–180.
  • J.C. Quiggin, G. Karagiannis, and J. Stanton, Crop insurance and crop production: An empirical study of moral hazard and adverse selection, Aus. J. Agric. Econ. 37 (1993), pp. 95–113.
  • R Core Team, R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria, 2016. Available at https://www.R-project.org/.
  • O.A. Ramírez, Estimation and use of a multivariate parametric model for simulating heteroskedastic, correlated, nonnormal random variables: The case of corn belt corn, soybean, and wheat yields, Am. J. Agric. Econ. 79 (1997), pp. 191–205. doi: 10.2307/1243953
  • O.A. Ramirez, S. Misra, and J. Field, Crop-yield distributions revisited, Am. J. Agric. Econ. 85 (2003), pp. 108–120. doi: 10.1111/1467-8276.00106
  • G. Schwarz, Estimating the dimension of a model, Ann. Statist. 6 (1978), pp. 461–464. doi: 10.1214/aos/1176344136
  • B.J. Sherrick, F.C. Zanini, G.D. Schnitkey, and S.H. Irwin, Crop insurance valuation under alternative yield distributions, Am. J. Agric. Econ. 86 (2004), pp. 406–419. doi: 10.1111/j.0092-5853.2004.00587.x
  • V.H. Smith and B.K. Goodwin, Crop insurance, moral hazard, and agricultural chemical use, Am. J. Agric. Econ. 78 (1996), pp. 428–438. doi: 10.2307/1243714
  • C.R. Taylor, Two practical procedures for estimating multivariate nonnormal probability density functions, Am. J. Agric. Econ. 72 (1990), pp. 210–217. doi: 10.2307/1243160
  • H.A. Tejeda and B.K. Goodwin, Modeling crop prices through a Burr distribution and analysis of correlation between crop prices and yields using a copula method, Annual Meeting of the Agricultural and Applied Economics Association, Orlando, FL, USA, Vol. 83, Citeseer, 2008, pp. 643–649.
  • C. Turvey and J. Zhao, Parametric and non-parametric crop yield distributions and their effects on all-risk crop insurance premiums, Department of Agricultural Economics and Business, University of Guelph, Guelph,Ontario, 1999.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.