Rate setting procedures for United States crop yield and revenue insurance contracts employ methods that presume correlations to be state invariant. Whether this is true matters. If yield-yield correlations strengthen when crops are subject to widespread stress, then diversification...

The use of plausible stochastic price processes in price risk analysis has allowed advances not seen in crop yield risk analysis. This study develops a stochastic process for yield modeling and risk management. The Pólya urn process is an internally consistent dynamic representation of yield...

While controversy surrounds skewness attributes of typical yield distributions, a better understanding is important for agricultural policy assessment and for crop-insurance rate setting. Day (1965) conjectured that crop yield skewness declines with an increase in nitrogen use at low levels but...

Empirical studies point to negative crop yield skewness, but the literature provides few clear insights as to why. This paper formalizes three points on the matter. Statistical laws on aggregates do not imply a normal distribution. Whenever the weather-conditioned mean yield has diminishing...

A large empirical literature exists seeking to identify crop yield distributions. Consensus has not yet formed. This is in part because of data aggregation problems but also in part because no satisfactory motivation has been forwarded in favor of any distribution, including the normal. This...

While the preponderance of empirical studies point to negative crop yield skewness in a wide variety of contexts, the literature provides few clear insights on why this is so. The purpose of this paper is to make three points on the matter. We show formally that statistical laws on aggregates do...

The modeling of price risk in the theory and practice of commodity risk management has been developed far beyond that of crop yield risk. This is in large part due to the use of plausible stochastic price processes. We use the Pólya urn to identify and develop a model of the crop yield...

While controversy surrounds skewness attributes of typical yield distributions, a better understanding is important for agricultural policy assessment and for crop insurance rate setting. Day (1965) conjectured that crop yield skewness declines with an increase in low levels of nitrogen use, but...

Empirical studies point to negative crop yield skewness, but the literature provides few clear insights as to why. This paper formalizes three points on the matter. Statistical laws on aggregates do not imply a normal distribution. Whenever the weather-conditioned mean yield has diminishing...

No satisfactory motivation has been forwarded in favor of any crop yield distribution, including thenormal. This article explores the foundations of yield distributions for the Law of the Minimum resourceconstraint technology at the plot level of analysis.With independent, identical, uniform...