Mixture Densities, Maximum Likelihood and the EM Algorithm

SIAM Review - Tập 26 Số 2 - Trang 195-239 - 1984
Richard A. Redner, Homer F. Walker

Tóm tắt

Từ khóa


Tài liệu tham khảo

Acheson M. A., 1951, The Sylvania Technologist, 4, 105

10.1214/aoms/1177706538

10.1093/biomet/66.1.17

Arley Niels, 1950, Introduction to the Theory of Probability and Statistics

Baker G. A., 1940, Tôhoku Math. J., 47, 304

10.1016/0022-247X(65)90059-4

Barndorff-Nielsen Ole, 1978, Information and exponential families in statistical theory

10.1214/aoms/1177697196

10.1093/biomet/57.1.215

10.1080/00949657208810024

10.2307/2528285

10.1214/aoms/1177704571

Blischke W. R., 1965, Classical and Contagious Discrete Distributions (Proc. Internat. Sympos., McGill Univ., Montreal, Que., 1963), 351

10.1080/01621459.1964.10482176

10.1214/aoms/1177699607

Boes D. C., 1967, Sankhyā Ser. A, 29, 417

10.1093/biomet/60.3.629

Boyles Russell A., 1983, J. Roy. Statist. Soc. Ser. B, 45, 47

Burrau C., 1934, Skand. Aktuarietidskrift, 17, 1

Cassie R. M., 1954, Austral. J. Marine and Freshwater Res., 5, 513, 10.1071/MF9540513

10.1111/j.1469-1809.1955.tb01360.x

10.1093/biomet/41.1-2.56

10.2307/2335752

10.1080/00401706.1979.10489780

Charlier C. V. L., 1906, Acta Univ. Lund. (Neue Folge. Abt. 2), 1, 33

Charlier C. V. L., 1924, Arkiv. for Matematik Astronomi Och Fysik, 18

10.1007/BF02532235

Choi Keewhan, 1968, J. Roy. Statist. Soc. Ser. B, 30, 444

Cohen, Jr. A. C., 1963, Proc. of the International Symposium on Classical and Contagious Discrete Distributions, 351

10.2307/2528188

10.1080/00401706.1967.10490438

Cohen A. C., 1976, Comm. Statist. Theor. Meth., 5

Cooper P. W., 1967, Computer and Information Sciences, II, 143

Cox D. R., 1959, J. Roy. Statist. Soc. Ser. B, 21, 411

Cramér Harald, 1946, Mathematical Methods of Statistics

10.1093/biomet/56.3.463

10.1214/aoms/1177698536

Dempster A. P., 1977, J. Roy. Statist. Soc. Ser. B, 39, 1

Dennis, Jr. J. E., 1981, Proc. of the NATO Advanced Research Symposium

10.1137/1019005

Dennis, Jr. John E., 1983, Numerical methods for unconstrained optimization and nonlinear equations

10.2307/2529143

Dixon L. C. W., 1975, Towards Global Optimization, Vols. 1, 2

10.1007/BF01180420

Duda R. O., 1973, Pattern Classification and Scene Analysis

10.1007/978-94-009-5897-5

Forsythe George E., 1977, Computer methods for mathematical computations

10.1080/01621459.1979.10481652

10.1093/biomet/59.3.639

Fukunaga K., 1972, Introduction to Statistical Pattern Recognition

10.2307/2530519

Gill Philip E., 1981, Practical optimization

10.1086/225676

10.1016/0016-0032(48)90386-X

10.2307/2528680

Gridgeman N. T., 1970, Technometrics, 12, 823

Gumbel E. J., 1939, Ann. Univ. Lyon (3), 11, 39

10.1002/bimj.4710200202

10.1080/03610927708827519

10.1080/03610927808827726

10.1214/aos/1176342813

10.1214/aos/1176344000

10.1080/00401706.1960.10489900

Hall Peter, 1981, J. Roy. Statist. Soc. Ser. B, 43, 147

10.1017/S0025315400055259

Hartigan John A., 1975, Clustering algorithms

Hartley M. J., 1978, J. Amer. Statist. Assoc., 73, 738

10.1080/00401706.1966.10490375

10.1080/01621459.1969.10501071

10.1080/01621459.1963.10480678

10.1080/03610927308827019

10.2307/2529141

10.1080/03610927408827201

Hosmer, Jr. D. W., 1978, J. Amer. Statist. Assoc., 73, 741

10.1080/00949657708810178

10.1111/j.1469-1809.1947.tb02394.x

10.2307/2530016

10.2307/1267202

10.1080/00401706.1970.10488697

Kabir A. B. M. Lutful, 1968, J. Roy. Statist. Soc. Ser. B, 30, 472

10.1093/biomet/48.3-4.452

10.1093/biomet/49.3-4.479

10.1109/TIT.1977.1055693

10.1214/aoms/1177728066

10.2307/1913910

Kiefer N. M., 1978, J. Amer. Statist. Assoc., 73, 744, 10.1080/01621459.1978.10480048

Knuth D. E., 1969, The Art of Computer Programming, Vol. 2

Kumar K. D., 1979, J. Amer. Statist. Assoc., 74, 52

10.1080/01621459.1978.10480103

Lazarsfeld P. F., 1968, Latent Structure Analysis

Loève Michel, 1963, Probability theory

Luenberger David G., 1969, Optimization by vector space methods

Macdonald P. D. M., 1971, J. Royal Statist. Soc. Ser. B, 33, 326

Macdonald P. D. M., 1975, Applied statistics (Proc. Conf., Dalhousie Univ., Halifax, N. S., 1974), 231

10.2307/2527908

Maritz J. S., 1970, Empirical Bayes methods

Pál Medgyessy, Decomposition of superpositions of distribution functions, Akadémiai Kiadó, Budapest, 1961, 227–22:125530094.32801

10.1093/biomet/45.3-4.504

10.1080/01621459.1936.10502297

10.1080/01621459.1938.10503539

10.1080/03610927608827427

Ortega J. M., 1970, Iterative solution of nonlinear equations in several variables

Ostrowski A. M., 1966, Solution of equations and systems of equations

10.1098/rsta.1894.0003

Pearson K., 1915, Biometrika, 11, 139

10.1093/biomet/6.1.59

10.1080/03610927608827429

10.1137/0135032

10.1137/0135036

10.1214/aoms/1177732678

10.1093/biomet/40.3-4.460

10.1080/01621459.1972.10482378

10.1080/01621459.1978.10480085

Rao C. R., 1948, J. Roy. Statist. Soc. Ser. B., 10, 159

10.1214/aos/1176345353

10.1214/aoms/1177705147

Rider P. R., 1962, Bull. Internat. Statist. Inst., 39, 225

10.1093/biomet/57.1.57

Sammon, Jr. J. W., 1968, Pattern Recognition, 409

10.1080/01621459.1947.10501935

10.1214/aos/1176343651

Sittig J., 1948, Statistics, 2, 206

Stanat D. F., 1968, Pattern Recognition, 357

Stewart G. W., 1973, Introduction to matrix computations

Strömgren B., 1934, Skand. Aktuarietidskrift, 17, 7

Sundberg Rolf, 1974, Scand. J. Statist., 1, 49

10.1080/03610917608812007

10.1080/00401706.1968.10490543

10.2307/2528641

10.1080/01621459.1972.10481282

10.1080/01621459.1975.10480321

10.1080/01621459.1975.10480259

10.1214/aoms/1177705987

10.1214/aoms/1177705155

10.1214/aoms/1177703862

10.1214/aoms/1177698805

Titterington D. M., 1983, J. Roy. Statist. Soc. Ser. B, 45, 37

Tubes J. D., 1976, Comm. Statist. Theor. Meth., 5

10.1016/B978-0-12-714250-0.50005-X

10.1214/aos/1176345870

10.1214/aoms/1177729952

10.1080/03610928008827924

10.1007/BF02613878

10.1207/s15327906mbr0503_6

10.1214/aoms/1177707038

10.1214/aos/1176346060

10.1214/aoms/1177697384

10.1109/TIT.1970.1054442

10.1214/aoms/1177698520

Young Tzay Y., 1974, Classification, estimation and pattern recognition

10.1109/TIT.1970.1054454

Zacks Shelemyahu, 1971, The theory of statistical inference

Zangwill Willard I., 1969, Nonlinear programming: a unified approach