## Application of Comparison of Experiments to Radar Detection and Coding Problems |

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### Contents

Aiphysical formulation of statistical decision theory | 1 |

Comparison of experiments | 23 |

Application to radar detection | 36 |

4 other sections not shown

### Common terms and phrases

application assume Bayes decision rule BAYES ESTIMATE Bayes Theorem binary binary symmetric channel breakpoints cd(x Chapter choice choose d(x Cn(t comparison of experiments conditional distribution functions conditional probability densities consider convex hull corresponding Cp(t decision criterion decision problem define denote Dp(p equal equation experiment matrix experiment Q finite Fp(t game theory given increasing the repetition INFINITE NUMBER informative than Q L-ratio L[cu large number likelihood ratio loss criterion loss function loss matrix minimum average risk n-lv nature non-countably infinite Note Np Markov matrix number of outcomes number of possible obtain operating point ordinary game P D Q P(FA payoff matrix Pk(d player points in region possible outcomes priori information pseudo-matrix pure strategies radar receiver operating characteristic repetition index risk using experiment Section selects strategy shown single digit statistical decision theory take a derivative target is present transmission true unit square zero