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Journal ArticleDOI

A Decision Theoretic Approach to Crop Disease Prediction and Control

TLDR
In this article, Bayesian decision theory procedures are used to arrive at optimal crop disease control practices, and subjective probabilities of disease loss intensity are measured and used in the decision model, and the optimal pesticide use actions are computed for three different objective functions, maximum subjective expected returns, mean-standard deviation of returns, and maximum expected returns with a minimum income side condition.
Abstract
The pesticide application practices of California peach growers in controlling peach brown‐rot are used to demonstrate how Bayesian decision theory procedures can be used to arrive at optimal crop disease control practices. Subjective probabilities of disease loss intensity are measured and used in the decision model. Information from an analyst (this researcher) is combined with farmers' subjective probabilities of disease loss by means of Bayes' theorem. Optimal pesticide use actions are computed for three different objective functions—maximum subjective expected returns, mean‐standard deviation of returns, and maximum expected returns with a minimum income side condition.

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Journal ArticleDOI

A critique of the normative and descriptive foundations of subjective probability, with reference to agriculture

TL;DR: In this article, the authors suggest that Savage's inferred probabilities do not take account of differences in uncertainty which may rationally determine behaviour, and that subjective probabilities may provide an inefficient method of analysing observed economic behaviour.
Book ChapterDOI

Programming Methods for Risk-Efficient Choice

TL;DR: Programming models were prominent in early theoretical and empirical research on risk-efficient choices, beginning primarily with Freund’s (1956) seminal incorporation of risk into a quadratic programming (QP) model.
Journal ArticleDOI

Major problems with evaluating multiple stress factors in agriculture

TL;DR: This approach offers insights into the experimental designs, analyses and potential uses of integrated pest management strategies developed by interdisciplinary scientists; yet, major problems exist in acquisition of model validation data.
References
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Journal ArticleDOI

Chance-Constrained Programming

TL;DR: The paper presents a method of attack which splits the problem into two non-linear or linear programming parts, i determining optimal probability distributions, ii approximating the optimal distributions as closely as possible by decision rules of prescribed form.
Book ChapterDOI

Truth and Probability

TL;DR: A reprint of Frank P. Ramsey's seminal paper "Truth and Probability" written in 1926 and first published posthumous in the 1931 The Foundations of Mathematics and other Logical Essays, ed. R.B. Braithwaite, London: Routledge & Kegan Paul Ltd as discussed by the authors.
Journal ArticleDOI

The Foundation of Statistics

Journal ArticleDOI

The Consensus of Subjective Probability Distributions

TL;DR: "`But the authors can't agree whether A or B is correct,' he concluded, `and so they're collecting expert opinions, weighting them appropriately, and programming WESCAC to arbitrate the whole question.'"