The aim of the study was to evaluate the effect of mineral fertilization and seed quality on the yield of winter wheat in production conditions. This assessment is made in terms of the expected probabilities of success in relation to the yield of analyzed cultivars, taking into account the interaction of the factors considered. Analyses were performed on data from 3815 fields. The impact of fertilizers and seed quality was evaluated using logistic regression. Grain yield was transformed into a binomial variable, where values were divided into two classes, i.e. below the mean and above the mean. The results of the analysis proved a significant effect of fertilization rate, which was modified by different seed quality. The highest probability of obtaining yields above the mean was observed for pre-basic and basic seed quality at high fertilizer rates.
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Information inequalities for the minimax risk of sequential estimators are derived in the case where the loss is measured by the squared error of estimation plus a linear functional of the number of observations. The results are applied to construct minimax sequential estimators of: the failure rate in an exponential model with censored data, the expected proportion of uncensored observations in the proportional hazards model, the odds ratio in a binomial distribution and the expectation of exponential type random variables.
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