## Multivariate Statistics and Probability: Essays in Memory of Paruchuri R. KrishnaiahParuchuri R. Krishnaiah, Calyampudi Radhakrishna Rao, Malempati Madhusudana Rao |

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### Contents

T Subba Rao 484 Department of Mathematics University of Manchester | 1 |

Joint Asymptotic Distribution of Marginal Quantiles and Quantile | 15 |

On Determination of the Order of an Autoregressive Model | 40 |

Copyright | |

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Academic Press admissible Anal applications approximation assume assumption asymptotic bounded Center for Multivariate complete computation confidence bands consider consistency constant continuous convergence corresponding covariance deconvolution defined definition denote density depend derivatives discussed distribution equal error estimator example exists expansion expectation expressed finite fixed follows formula function give given Hence holds implies independent integral INTRODUCTION invariant joint known Krishnaiah Lemma likelihood limit linear marginal matrix mean measure method Multivariate Analysis Multivariate Statistics normal observations obtain parameter positive probability problem processes Proof properties prove random variables regression replaced respectively result sample satisfies sequence similar space Statistics Suppose Tables Technical Report Theorem theory true University of Pittsburgh values vector write York