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识别DNA序列中频率异常的词串AI 解读

SUMMARY Considering a Markov chain model for deoxyribonucleic acid sequences, this paper proposes two asymptotically normal statistics to test whether the frequency of a given word is concordant with the first-order Markov chain model or not. The problem is to choose estimates μ^(W) of the expectation of the frequency Mw of a word W in the observed sequence such that the asymptotic variance of MW−μ^(W) is easily computable. The first estimator is derived from the frequency…

随机场中不同实验设计的精度AI 解读

Various experimental designs can be used to study the effects of several treatments on a field. The variation of yield in the field will be represented by a realization of a stationary process with isotropic covariance. The variance of an estimator of a treatment effect can be divided into two parts, the first part due to experimental errors and the second part involving the process as well as randomization. This second component will be studied in order to find an optimal…

随机场中不同实验设计的精度AI 解读

Various experimental designs can be used to study the effects of several treatments on a field. The variation of yield in the field will be represented by a realization of a stationary process with isotropic covariance. The variance of an estimator of a treatment effect can be divided into two parts, the first part due to experimental errors and the second part involving the process as well as randomization. This second component will be studied in order to find an optimal…