The Improvement of Statistical Techniques in Biology
生物学中统计技术的改进AI 解读 ↓
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THE ENTRANCE of the statistician into the field of experimental design is the most outstanding feature of modern statistics. No more than a decade past, the statistician was distinctly on the defensive. When the data from an experiment were placed on his desk, he was supposed to produce some method of treatment irrespective of design. In some instances he was lucky; in others, baffled. Under the leadership of R. A. Fisher, the statistician has become the aggressor. He has found that the key to the problem is the intimate relation between the statistical method and the experimental plan. The latter must be capable of producing not only an unbiased estimate of the desired effects, but also a valid estimate of error. Many of the plans in use did neither. The statistician is now able to assert that properly designed experiments yield unqualified answers to the questions asked. It is incumbent upon the investigator to plan his experiment in accord with established principles, if he wishes to avail himself of adequate statistical methods. Only if the plan and the method are compatible may unambiguous conclusions be drawn from the statistics. To insure this, the statistical method must be decided upon along with the experimental plan before the laboratory or field work is initiated. The integration of plan and method lead to efficient designs.
近端估计与推断
Abstract We develop a convex-analytic framework for constructing and analyzing a broad class of penalized estimators. Our method defines penalized estimators by applying proximal operators to benchmark estimators, rather than by penalizing the benchmark criterion itself. We establish general finite-sample properties, derive unified asymptotic distribution results, and provide tractable conditions for oracle selection and oracle asymptotic efficiency. We then apply the…
Two frequent approaches for identifying structural VARs are external instruments, which carry economic content but are often weak, and non-Gaussianity of the shocks, which provides statistical identification but carries no economic meaning. We combine the two strategies in a single generalized method of moments framework. This hybrid approach point-identifies the target shocks while also identifying the non-target shocks up to sign and ordering. Under suitable rank…
逐点 CATE 估计的极小极大速率:设计平滑度的作用
We study the role of design smoothness in the minimax estimation of conditional average treatment effects at a fixed covariate point. For design densities bounded above and away from zero, without further regularity, we derive upper and lower risk bounds with an arbitrarily small gap in the convergence-rate exponent. Under uniform design, we obtain matching upper and lower bounds at interior points in the regime of low nuisance smoothness. These results show that rough…
多层主效应矩阵因子模型
We propose a multilevel main effects matrix factor model (MMEFM) to extract meaningful row and column effects from groups of matrix data. As a generalization of a multilevel matrix factor model, we provide rigorous definitions of MMEFM and identifications, together with iterative algorithms for the estimators of all global and local components in the main effects and common component, including global/local main effects and core ranks, with rates of convergence spelt out. An…