A Review of the packing problem

References

• Anderson , T.W. 1951 . The asymptotiv distribution of certain charateristic roots and vectors.Proceedings of the Second Symposium on mathematical statisticsand probability , 103 – 130 . Berkeley-Los Angeles : University of California Press .
   Google Scholar
• Anderson , T.W. 1958 . An introduction to multivariative statistical analysis , Newyork;London:sydney : John Wiley&sons .
   Google Scholar
• Anderson , T.W. , Rubin , . and Herman , . 1956 . Statistical inference in factor analysis Proceeding of the third Berkeley Symposium on mathematical statistics and proability , 111 – 150 . Berkeley-Los Angles : University of california press .
   Google Scholar
• Bargmann and Rolf , . 1957 . A Study independence and dependence of multivariative normal analysis , Chapel Hill : Insitute of Statistical Analysis,University of North Carolina .
   Google Scholar
• Bartlett , M. S. 1950 . Tests of significance in factor analysis . British Journal of Psychology , 3 : 77 – 85 .
   Web of Science ®Google Scholar
• Bartlett , M.S. 1951 . A further note on tests of significance in factor analysis . British Journal of Psychology , 4 : 1 – 2 .
   Web of Science ®Google Scholar
• Bartlett , M.S. 1951 . The effect of standardization on a x approximation in factor analysis . Biometrika , 38 : 337 – 344 .
   Web of Science ®Google Scholar
• Bartlett , M.S. 1951 . The goodness of fit of a single hypothet¬ical discriminant function in the case of several groups . Annals of Eugenics , 16 : 199 – 214 .
   PubMedGoogle Scholar
• Bartlett , M.S. 1954 . A note on the multiplying factors for various x~ approximations . Journal of the Royal Statistical Society , B,16 : 296 – 298 .
   Google Scholar
• Bechhofer , E. and Robert , . 1954 . A single-sample multiple decision procedure for ranking means of normal populations with known variances . Annals of Mathematical Statistics , 25 : 16 – 39 .
   Google Scholar
• Bechhofer , E. , Robert , W. , Dunnett , . , Charles , Sobel and Milton . 1954 . A two sample multiple decision procedure for ranking means of normal populations with a common unknown variance . Biometrika , 25 : 170 – 176 .
   Google Scholar
• Bechhofer , E. , Salah , Robert , Norman , Elmaghraby and Morse , . 1959 . A Single Sample multiple decision Procedure for Selecting the multinominal event with high probability . Annals of Mathematical Statistics , 30 : 102 – 119 .
   Google Scholar
• Milton , Bechhofer , Robert , E. and Sobel , . 1954 . A single-sample mul¬tiple decision procedure for ranking variances of normal popu¬lations . Annals of Mathematical Statistics , 25 : 273 – 289 .
   Google Scholar
• Bhapkar , V.P. 1959 . A note on J. Roy's step-down procedure In multivariate analysis . Annals of Mathematical Analysis , 30 : 617
   Google Scholar
• Bhapkar , V.P. 1959 . A note on multiple independence under multivariative normal linear models . Annals of mathematical statical analysis , 30 : 1248 – 1251 .
   Web of Science ®Google Scholar
• Brauer, Alfred . 1957 . A method for the computation of the greatest rouL of a positive matrix . Journal of the Society for Industrial and Applied Mathematics , 30 : 250 – 253 .
   Google Scholar
• Chaudhuri , S.B. 1956 . Statistical tables and certain recurrence relations connected with p-statistics . Calcutta Statistical Association Bulletin , 6 : 181 – 188 .
   Google Scholar
• Jean , Dunn and Olive , . 1956 . Estimation of the means of dependent variables . Annals of Mathematical Statistics , 29 : 1095 – 1111 .
   Google Scholar
• Jean , Dunn and Olive , . 1959 . Estimation of the medians for dependent variables . Annals of Mathematical Statistics , 30 : 192 – 197 .
   Google Scholar
• Dunnett , W. and Charles , . 1955 . A multiple comparison procedure for comparing several treatments with a control . Journal of the American Statistical Association , 59 : 1096 – 1121 .
   Google Scholar
• Charles W , Dunnett and Milton , Sobel . 1954 . A bivariate generaliza¬tion of Student s t-distribution, with tabj.es ior certain special cases . Biometrika , 41 : 153 – 169 .
   Web of Science ®Google Scholar
• Dunnett , C.W. and Sobel , M. 1955 . Approximations to the probabil¬ity integral and certain percentage points of a multivariate analogue of Student's t-distribution . Biometrika , 42 : 258 – 260 .
   Web of Science ®Google Scholar
• Fisher , R.A. 1950 . Contributions to Multivariate Statistics , New York; Chapman &Hall, Ltd., London : John Wiley &Sons, Inc .
   Google Scholar
• Foster , F.G. 1957 . Upper percentage points of the generalized Beta distribution. II . Biometrika , 44 : 441 – 453 .
   Web of Science ®Google Scholar
• Foster , F.G. 1958 . Upper percentage points of the generalized Beta distribution. III . Biometrika , 45 : 492 – 503 .
   Web of Science ®Google Scholar
• Foster , F.G. and Rees , D.H. 1957 . Upper percentage points of the generalized Beta distribution . Biometrika , 44 : 237 – 247 .
   Web of Science ®Google Scholar
• Fraser , D. A. S . 1951 . Sequentially determined statistically equivalent blocks . Annals of Mathematical Statistics , 22 : 372 – 381 .
   Google Scholar
• Fraser , D. A. S . 1953 . Nonparametric tolerance regions . Annals of Mathematical Statistics , 24 : 44 – 55 .
   Google Scholar
• Fraser , D.A.S. 1957 . Non-Parametric methods in statistics , Newyork ;Chapman and Hall;London : John wiley and sons .
   Google Scholar
• Fraser , D.A.S. and Irwin , Gutman . 1956 . Tolerance regions . Annals of mathematical statistics , 27 : 162 – 179 .
   Google Scholar
• Fraser , D.A.S. , Wormleighton , R. and R , . 1951 . Non-Parametric Estimators IV . Annals Of mathematical statistics , 22 : 294 – 298 .
   Google Scholar
• Gnanadesikan and Ramanathan , . 1956 . Contributions to Multivariate Analysis Including Univariate and Multivariate Variance Com¬ponents Analysis and Factor Analysis , Chapel Hill : Institute of Statistics, University of North Carolina .
   Google Scholar
• Gnanadesikan , R. 1960 . Equality of more than two variances and of more than two dispersion matrices against certain alterna¬tives . Annals of Mathematical Statistics , 30 : 177 – 184 .
   Google Scholar
• Gupta , S. and Shanti , . 1956 . On a Decision Rule for a Problem in Ranking Means , Chapel Hill : Institute of Statistics, University of North Carolina .
   Google Scholar
• Gupta , S. , Shanti , . , Sobel , . and Milton , . 1957 . On a statistic which arises in selection and ranking problems . Annals of Mathemati¬cal Statistics , 28 : 957 – 967 .
   Google Scholar
• Gurland and John , . 1955 . Distribution of the maximum of the arith¬metic mean of correlated random variables . Annals of Mathe-matical Statistics , 26 : 294 – 300 .
   Google Scholar
• Halpern , W. , Max , A. , Green , House , Samuel , Cornfield , jerome , Zalokar and Juila . 1955 . Tables of percentage points for the studentized maximum absolute deviate in normal samples . Journal of the American Statistical Association , 50 : 185 – 195 .
   Web of Science ®Google Scholar
• Harter , H. and Leon . 1978 . A_ Chronological Annotated Bibliography on Order Statistics , Columbus, Ohio : American Sciences Press .
   Google Scholar
• H , Harter,Leon . 1979 . Some early applications of order statis¬tics to multivariate analysis . International Statistical Review , 47 : 267 – 282 .
   Web of Science ®Google Scholar
• Harter , H. and Leon , . 1983 . The Chronological Annotated Bibliography o f 0 r d er Statistics , Coloumbus,Ohio : American Science Press .
   Google Scholar
• Healy , W.C. 1956 . Two Sampile Procedures Simultaneous . annals of mathematical statistics , 17 : 687 – 708 .
   Google Scholar
• Horciling and Harold , . 1954 . Multivariative analysis statsical Mathematics and Biology , 67 – 80 . Ames : Lowa State College Press .
   Google Scholar
• Kemperman , J.H.B. 1956 . Generalized tolerance limits . Annals of Mathematical Statistics , 27 : 180 – 186 .
   Google Scholar
• Kendall , M. G. 1957 . A Course in Multivariate Analysis , London : Hafner Publishing Company,New York; Charles Grit tin and Co., Ltd .
   Google Scholar
• Kendall , M. G. and Smith, B , Babington . 1950 . Factor analysis . Journal of the Royal Statistical Society , 11 : 60 – 94 .
   Google Scholar
• Kozelka , M. and Robert , . 1956 . Approximate upper percentage points for extreme values in multinomial sampling . Annals of Mathe¬matical Statistics , 27 : 507 – 512 .
   Google Scholar
• Kudo and Akio , . 1956 . On the confidence interval of the extreme . Bulletin of Mathematical Statistics , 6 : 51 – 56 .
   Google Scholar
• Kudo and Akio , . 1957 . The extreme value in a multivariate normal sample . Memoirs of the Faculty of Science , 11 : 143 – 156 .
   Google Scholar
• Kudo , A. 1958 . On the distribution of the maximum value of an equally correlated sample from a normal population . Sankhya , 20 : 309 – 316 .
   Google Scholar
• Kullback , S. 1952 . An application of information theory to multivariate analysis . Annals of Mathematical Statistics1952 , 23 : 88 – 102 .
   Google Scholar
• Lawley , D. N. 1956 . Tests of significance for the latent roots of covariance and correlation matrices . Biomctrika , 43 : 128 – 136 .
   Web of Science ®Google Scholar
• Lawley , D. N. 1959 . Tests of significance in canonical analysis . Biometrika , 49 : 59 – 66 .
   Google Scholar
• Mauldon , J. G. 1959 . A generalization of the Beta-distribution . Annals of Mathematical Statistics , 30 : 509 – 520 .
   Google Scholar
• Mickey and Ray , . 1959 . Some bounds on the distribution function of the largest and smallest roots of normal determinantal equa¬tions . Annals of Mathematical Statistics , 30 : 242 – 243 .
   Google Scholar
• Mood , A.M. 1951 . On the distribution of characteristic roots of normal second matrix . Annals of mathematical statistics , 22 : 266 – 273 .
   Google Scholar
• Nanda , D. N. 1951 . Probability distribution tables of the larger root of a determinantal equation with two roots . Journal of the Indian Society of Agricultural Statistics , 3 : 175 – 177 .
   Google Scholar
• Olkin , I. and RoyI , S.N. 1954 . On multivariate distribution theory . Annals of Mathematical Statistics , 25 : 229 – 239 .
   Google Scholar
• Pillai , K.C. and Sreedharan , S. 1954 . On Some Distribution Problems in Multivariate Analysis , Chapel Hill : Institute of Statistics, University of North Carolina .
   Google Scholar
• Pillai , K. C. S . 1955 . Some new test criteria in multivariate analysis . Annals of Mathematical Statistics , 26 : 117 – 121 .
   Google Scholar
• Pillai , K. C. S . 1956 . On the distribution of the largest or the smallest root of a matrix in multivariate analysis . Biometrika , 43 : 122 – 127 .
   Web of Science ®Google Scholar
• Pillai . 1956 . Some results useful in multivariate analysis . Anna!s of Mathematical Statistics , 27 : 1106 – 1114 .
   Google Scholar
• Pillai , K. C. and Sreedharan , . 1957 . Concise Tables for Statisticians , Manila : The Statistical Center, University of the Philippines .
   Google Scholar
• Pillai , K.C. , Sreedharan , G. , Bantegui , . and Celia , . 1959 . On the dis¬tribution of the largest of six roots of a matrix in multivar¬iate analysis . Biometrika , 46 : 237 – 240 .
   Web of Science ®Google Scholar
• Raraachandran , K.V. 1954 . On Certain Tests and the Monotonicity of their Powers , Chapel Hill : Institute of Statistics, University of North Carolina .
   Google Scholar
• Raoj , C. and Radhakrishna , . 1952 . Advanced Statistical Methods in Biometric Research. , Newyork;London : John Wiley &Sons, Inc;Chapman &Hall, Ltd .
   Google Scholar
• Rosenblatt and Murray , . 1952 . Remarks on a multivariate transforma¬tion . Annals of Mathematical Statistics , 23 : 470 – 472 .
   Google Scholar
• Murray , Rosenblatt . 1952 . Limit theorems associated with variants of the von Mises statistic . Annals of Mathematical Sta¬tistics , 23 : 617 – 623 .
   Web of Science ®Google Scholar
• Roy , J. 1958 . Step-down procedure in multivariate analysis . Annals of Mathematical Statistics , 29 : 1177 – 1187 .
   Google Scholar
• Roy , S.N. 1952 . Some asspects of statistical interence Proceeding of the international congress of mathematicians , 1 : 555 – 564 .
   Google Scholar
• Roy , S.N. 1953 . On the heuristic method of test construction and its uses in multivariative analysis . Annal of mathematical statistics , 24 : 220 – 238 .
   Google Scholar
• Roy , S.N. 1954 . Some further results in simultaneous confidence interval estimation . Annal of mathematicl Statistics , 25 : 752 – 761 .
   Google Scholar
• Roy , S.N. 1956 . A note on some further resultsin simultaneous confidence interval estimation . Annals of MathematicalStatistics , 27 : 856 – 858 .
   Google Scholar
• Roy , S.N. 1957 . Some Aspects of Multivariate Analysis , New York : John Wiley &Sons, Inc .
   Google Scholar
• Roy , S. N. and Bargmann , R.E. 1958 . Tests of multiple independence and the associate confidence bounds . Annals of Mathemat-ical Statistics , 29 : 491 – 503 .
   Google Scholar
• Roy , S.N. and Bose , R.C. 1953 . Simultaneous confidence interval estimation . Annals of Mathematical Statistics , 24 : 513 – 536 .
   Google Scholar
• Roy , S.N. and Gnanadesikan , R. 1957 . Further contributions to multivariate confidence bounds . Biometrika , 44 : 399 – 410 .
   Web of Science ®Google Scholar
• Roy , S.N. and Potthoff , R.F. 1958 . Confidence bounds on vector analogues of the 'ratio of means' and the 'ratio of variances' for two correlated normal variates and some associated tests . Annals of Mathematical Statistics , 29 : 829 – 841 .
   Google Scholar
• Roy , S.N. and Roy . 1958 . Analysis of Variance with Univariate or Multivariate, Fixed or Mixed Classical Models , Chapel Hill : Institute of Statistics, University of North Carolina .
   Google Scholar
• Roy , S.N. and Roy , J. 1959 . On a class of problems in multivari¬ate analysis of variance . Annals of Mathematical Statistics , 30 : 618
   Google Scholar
• Jacques , St-PIerre . 1954 . Distribution of Linear Contrasts of , Chapel Hill : Doctoral dissertation. Department of Statis¬tics, university of North Carolina .
   Google Scholar
• L.K.C . 1957 . A Optimum decision rule for ranking means of normal Populations . Calcutta StatisticalAssociation , 7 : 131 – 150 .
   Google Scholar
• Pedro , Sen . 1957 . On a Multivariate Teat Criterion and its Applications. Master's thesis. , Manila : The Statistical Center, University of the Philippines .
   Google Scholar
• Siotani and Minoru , . 1959 . On the range in the multivariate case . Bulletin of the Institute of Statistical Mathematics , 6 : 155 – 165 .
   Google Scholar
• Siotani and Minoru , . 1959 . The extreme value of generalized dis¬tances and its applications . Bulletin de l'Institut International de Statistique , 38 : 591 – 599 .
   Google Scholar
• Somerville , N. and Paul , . 1958 . Tables for obtaining non-parametric tolerance limits . Annals of Mathematical Statistics , 29 : 599 – 601 .
   Google Scholar
• Steel , R.G.D. and Federer , W.T. 1955 . Yield-stand analyses . Journal of the Indian Society of Agricultural Statistics , 7 : 29 – 45 .
   Google Scholar
• de Oliveira, J , Tiago . 1958 . Extremal distributions . Revista da Faculdade de Ciencias , 2 : 219 – 228 .
   Google Scholar
• de Oliveira, J , Tiago . 1959 . Distribuicoes de extremos , Lisboa : Mira Fernandes .
   Google Scholar
• Tintner and Gerhard , . 1950 . Some formal relations in multivariate analvsis . Journal of the Royal Statistical Socict , 12 : 95 – 101 .
   Google Scholar
• Tintner , Gerhard . 1950 . A test for linear relations between weighted regression coefficients . Journal of the Royal Statistical Society , 12 : 273 – 277 .
   Google Scholar
• Tintner , Gerhard . 1952 . Econometrics , New York;London : John Wiley &Sons, Inc .
   Google Scholar
• Venutra , R. and Simeon , . 1957 . On the extreme of a matrix in multivariative Analysis and associationTests , Manila : The statical center,University of Phillipines .
   Google Scholar
• Wailance , L. and David , . 1958 . Intersection region of Procedures with an application to the Location of the maximum in quadratic regression . Annals of mathematical statistics , 29 : 455 – 475 .
   Google Scholar
• Wacterson , C.A. Ordered and Censored Samples from a , Australia : Master's thesis, University of Melbourne .
   Google Scholar
• Watterson , G.A. 1959 . Linear estimation in censored samples from multivariate normal popularions . Annals of Mathematical Statistics , 30 : 814 – 824 .
   Google Scholar
• Weiss and Lionel , . 1958 . Limiting distributions of homogeneous func¬tions of sample spacings . Annals of Mathematical Statistics , 29 : 310 – 312 .
   Google Scholar
• Whittlesey , R. B. and John , . 1954 . Summary of P.esults Obtained under the Ford Foundation Contract , Chapel Hill : Department of Statistics, University of North Carolina .
   Google Scholar
• Wilks , S.S. 1959 . Non-parametric statistical inference. , New York : John Wiley &Sons .
   Google Scholar
• Williams , E. J. 1952 . Some exact tests in multivariate analy¬sis . Biometrika , 39 : 17 – 31 .
   Web of Science ®Google Scholar
• Williams , E. J. 1952 . The interpretation of interactions in factorial experiments . Biometrika , 39 : 65 – 81 .
   Web of Science ®Google Scholar
• Williams , E. J. 1952 . Use of scores for the analysis of asso-ciati^ in contingency tables . Biometrika , 39 : 274 – 289 .
   Web of Science ®Google Scholar
• Siotani , Minoru . 1959 . The extreme value of the generalized distances of the individual points in the multivariate normal sample . Annals of the Institute of Statistical Mathematics , 10 : 183 – 208 .
   Web of Science ®Google Scholar