The life and work of Zbyněk Šidák (1933–1999)

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1. Jedna metoda vyšetřování monotonie posloupností, [A method for treating monotony of sequences.] Časopis pěst.  mat.  79 (1954), 135–139. (Czech) (1954) 
2. K problému verifikace předpovědí vyjádřených čísly, [A contribution to the problem of verification of forecasts expressed in numbers.] Meteorologické zprávy 9 (1956), 141–144. (Czech) (1956) 
3. Jednoduchý neparametrický test rozdílnosti polohy dvou populací, [A simple nonparametric test of difference in location of two populations.] Apl. mat.  2 (1957), 215–221. (Czech) (1957) MR0090203
4. On relations between strict sense and wide sense conditional expectations, Teor.  Veroyatnost.  i Primenen. 2 (1957), 283–288. (1957) MR0092249
5. O procesech učení, [On processes of learning.] Matematika ve škole 8 (1958), 384. (Czech) (1958) 
6. Matematicko-statistické usuzování, [On statistical inference.] Vesmír 38 (1959), 135–137. (1959) 
7. O některých vztazích elementárních dělitelů matice k jejímu vlastnímu vektoru, [On some relations of the elementary divisors of a matrix to its characteristic vector.] Časopis pěst.  mat.  84 (1959), 293–302. (Czech) (1959) 
8. Cellular changes in the white cell count, regional lymph node and spleen during infection with the tick-borne encephalitis virus in mice, Acta Virologica 5 (1961), 101–111. (1961) 
9. Integral representations for transition probabilities of Markov chains with a general state space, Czechoslovak Math. J. 12(87) (1962), 492–522. (1962) MR0148115
10. Représentations des probabilités de transition dans les chaînes à liaisons complètes, [Representation of transition probabilities of chains with complete connections.] Časopis pěst.  mat.  87 (1962), 389–398. (French) (1962) 
11. Nestejné počty pozorování při srovnávání několika skupin s jednou kontrolní, [Unequal numbers of observations in comparing several treatments with one control.] Apl.  mat.  7 (1962), 292–314. (Czech) (1962) 
12. The increase in packed red cell volume (haematocrit) as a criterion of effective pernicious anaemia treatment, Folia Haematologica 80 (1962–63), 366–389. (1962–63) 
13. Některé praktické příklady z kombinatoriky, [Some practical examples from combinatorics.] Matematika ve škole 13 (1962–63), 543–547. (Czech) (1962–63) 
14. Operatory v prostranstve nepreryvnykh funktsiĭ i predstavlenie processov Markova v kompaktnom prostranstve Khausdorfa, [Operators in the space of continuous functions and the representation of Markov processes in a compact Hausdorff space.] Czechoslovak Math.  J. 13(88) (1963), 37–50. (Russian) (1963) 
15. Některé věty a příklady z teorie operátorů ve spočetných Markovových řetězcích, [Some theorems and examples in the theory of operators in denumerable Markov chains.] Časopis pěst. mat. 88 (1963), 457–478. (Czech) (1963) 
16. Matematika, literatura a jazykověda, [Mathematics, literature and linguistics.] Matematika ve škole 14 (1963–64), 39–41. (Czech) (1963–64) 
17. O současném pojetí teorie pravděpodobnosti, [Up-to-date conception of probability theory.] Matematika ve škole 14 (1963–64), 229–234, 289–295. (Czech) (1963–64) 
18. Eigenvalues of operators in denumerable Markov chains, In: Transactions of the third Prague conference on information theory, statistical decision functions, random processes (Liblice, 1962), NČSAV, Prague, 1964, pp. 641–656. (1964) MR0192560
19. O počtu kladných prvků v mocninách nezáporné matice, [On the number of positive elements in powers of a non-negative matrix.] Časopis pěst. mat.  89 (1964), 28–30. (Czech) (1964) 
20. Eigenvalues of operators in $l_p$-spaces in denumerable Markov chains, Czechoslovak Math.  J. 14(89) (1964), 438–443. (1964) MR0176527
21. Rectangular confidence regions for the means of multivariate normal distributions, Bull.  Inst.  Internat.  Statist. 41 (1965), 380–381. (1965) 
22. O použití ergodických vět pro Markovovy řetězce, [On the use of ergodic theorems for Markov chains.] Časopis pěst.  mat.  90 (1965), 200–208. (Czech) (1965) MR0192561
23. 10.1090/S0002-9904-1966-11462-3, Bull.  Amer.  Math. Soc. 72 (1966), 149–152. (1966) MR0185705DOI10.1090/S0002-9904-1966-11462-3
24. Four methods of constructing confidence intervals for the means of multivariate normal distributions, Statistical Laboratory Publications SLP-3, Michigan State University, East Lansing (1966). (1966) 
25. Classification of Markov chains with a general state space, In: Transactions of the fourth Prague conference on information theory, statistical decision functions, random processes (Prague, 1965), Academia, Prague, 1967, pp. 547–571. (1967) MR0216590
26. On multivariate normal probabilities of rectangles: their dependence on correlations, Statistical Laboratory Publications SLP-6, Michigan State University, East Lansing (1967). (1967) MR0230403
27. Rectangular confidence regions for the means of multivariate normal distributions II, Statistical Laboratory Publications SLP-7, Michigan State University, East Lansing (1967). (1967) MR0216666
28. Rectangular confidence regions for the means of multivariate normal distributions, J.  Amer.  Statist.  Assoc. 62 (1967), 626–633. (1967) MR0216666
29. Eigenvalues of operators in $L_p$-spaces in Markov chains with a general state space, Czechoslovak Math.  J. 17(92) (1967), 148–157. (1967) MR0210193
30. Theory of Rank Tests, Academia, Praha, and Academic Press, New York, 1967. (1967) MR0229351
31. On the mean number and size of opaque particles in transparent bodies, In: Studies in Math. Statistics, Theory and Applications, Akadémiai Kiadó, Budapest, 1968, pp. 161–168. (1968) 
32. 10.1007/BF02613384, Metrika 13 (1968), 191–195. (1968) DOI10.1007/BF02613384
33. 10.1214/aoms/1177698122, Ann.  Math.  Statist. 39 (1968), 1425–1434. (1968) MR0230403DOI10.1214/aoms/1177698122
34. 10.1007/BF02385043, Albrecht V. Graefes Arch.  Klin.  Exp.  Ophthalmologie 176 (1968), 148–154. (1968) DOI10.1007/BF02385043
35. 10.1214/aoms/1177693504, Ann.  Math.  Statist. 42 (1971), 169–175. (1971) MR0278354DOI10.1214/aoms/1177693504
36. Teoriya rangovykh kriteriev, [Theory of Rank Tests.] Nauka, Moskva, 1971. (Russian) (1971) 
37. Remarks on Anděl’s paper “On multiple normal probabilities of rectangles”, Apl.  mat. 16 (1971), 182–187. (1971) MR0285062
38. Changes in immunoglobulin levels due to autovaccine-therapy, Allergie und Immunologie 18 (1972), 19–24. (1972) 
39. A chain of inequalities for some types of multivariate distributions with nine special cases, Apl.  mat. 18 (1973), 110–118. (1973) MR0315842
40. On probabilities in certain multivariate distributions: their dependence on correlations, Apl.  mat. 18 (1973), 128–135. (1973) MR0314197
41. Applications of random walks in nonparametric statistics, Bull.  Inst.  Internat.  Statist. 45 (1973), Book 3, 34–43. (1973) MR0356357
42. Tables for two normal-scores rank tests for the two-sample location problem, Apl.  mat. 18 (1973), 333–345. (1973) MR0324830
43. Tables for two normal-scores rank tests for the two-sample scale problem, Apl. mat. 18 (1973), 346–363. (1973) MR0324831
44. Tables for the two-sample Savage rank test optimal for exponential densities, Apl.  mat. 18 (1973), 364–374. (1973) MR0324832
45. Současné vývojové směry matematické statistiky, [Modern trends in mathematical statistics.] Pokroky matematiky, fyziky a astronomie 18 (1973), 116–122. (Czech) (1973) 
46. A chain of inequalities for some types of multivariate distributions, In: Progress in Statistics (European Meeting of Statisticians, Budapest, 1972), North-Holland, Amsterdam, 1974, pp. 693–699. (1974) MR0370927
47. 10.1007/BF02504636, Ann.  Inst.  Statist.  Math. 27 (1975), 181–184. (1975) MR0375624DOI10.1007/BF02504636
48. Sedmdesátiny akademika Josefa Nováka, [Academician Josef Novák septuagenarian.] Apl.  mat. 20 (1975), 149–152. (Czech) (1975) MR0380099
49. Tables for the two-sample median test, Apl.  mat. 20 (1975), 406–420. (1975) MR0388651
50. Zemřel profesor Jaroslav Hájek, [Professor Jaroslav Hájek died.] Časopis pěst.  mat. 100 (1975), 303–313. (Czech) (1975) MR0384420
51. Jaroslav Hájek, 1926–1974, Czechoslovak Math.  J. 25(100) (1975), 495–502. (1975) MR0369008
52. Bibliography on Markov chains with a general state space, Apl.  mat. 21 (1976), 365–382. (1976) MR0410925
53. Zemřel profesor Jaroslav Hájek, [Professor Jaroslav Hájek died.] Apl.  mat. 21 (1976), 77–80. (Czech) (1976) MR0384421
54. Vzpomínka na RNDr. Otto Fischera, [Recollections of RNDr. Otto Fischer.] Apl.  mat. 21 (1976), 393–394. (Czech) (1976) 
55. Tables for the two-sample location $E$-test based on exceeding observations, Apl.  mat. 22 (1977), 166–175. (1977) MR0440791
56. Miscellaneous topics in Markov chains with a general state space, In: Transactions of the seventh Prague conference on information theory, statistical decision functions, random processes (Prague, 1974), Vol.  A, Academia, Prague, 1977, pp. 531–544. (1977) MR0488320
57. Principy statistických procedur uspořádávání a selekce populací, [Principles of statistical procedures for ranking and selecting populations.] In: PROBASTAT 77 — Celoštátne sympózium z teórie pravdepodobnosti, matematickej štatistiky a ich aplikácií v meraní (Smolenice, 1957), JSMF — ÚMMT SAV, Bratislava, 1977, pp. 17. (Czech) (1977) 
58. Monte Carlo comparisons of some rank tests optimal for uniform distributions, In: Contributions to Statistics, Academia, Praha, 1979, pp. 233–238. (1979) 
59. Some proposals for estimating the change-point in a sequence of random variables, In: DIANA—Conference on Discriminant Analysis (Liblice, 1982), Matematický ústav ČSAV, Praha, 1982, pp. 213–218. (1982) 
60. Selection of the best of several multivariate normal distributions, In: Asymptotic Statistics 2 (Kutná Hora, 1983), Elsevier, Amsterdam, 1984, pp. 131–144. (1984) MR0785389
61. COMPSTAT 1984—Proceedings of the sixth symposium on computational statistics (Prague, 1984), Physica-Verlag, Wien, 1984, pp. 520. (1984) MR0806989
62. Some distribution-free discrimination procedures for circular data, In: DIANA II—Conference on Discriminant Analysis (Liblice, 1986), Matematický ústav ČSAV, Praha, 1987, pp. 241–248. (1987) 
63. Základy teorie pořadových testů, [An introduction to the theory of rank tests.] In: PROBASTAT 89 (Liptovský Ján-Liptovský Mikuláš, 1989), JSMF — VVTŠ, Liptovský Mikuláš, 1989, pp. 5–34. (Czech) (1989) 
64. A sequential procedure for selecting the better of two trinomial populations, In: Proceedings of the fourth Prague symposium on asymptotic statistics (Prague, 1988), Universita Karlova, Praha, 1989, pp. 491–497. (1989) MR1051468
65. Nonparametric discrimination of response curves and discrimination of permutations, In: DIANA III—Conference on Discriminant Analysis (Bechyně, 1990), Matematický ústav ČSAV, Praha, 1990, pp. 243–250. (1990) 
66. Soutěž o královnu krásy a teorie uspořádání, [Miss Beauty competition and the theory of ranking.] Rozhledy matematicko-fyzikální 68 (1990), 298–304. (Czech) (1990) 
67. Variabilita sportovních soutěží, [Variability of sport competitions.] Rozhledy matematicko-fyzikální 68 (1990), 374–380. (Czech) (1990) 
68. Matematické hodnocení variability soutěží v kolektivních sportech, [A mathematical evaluation of variability of competitions in team sports.] Teorie a praxe tělesné výchovy 38 (1990), 114–118. (Czech) (1990) 
69. Variability of sport competitive groups, In: Congres International sur Analyse en Distance DISTANCIA ’92, Université de Haute Bretagne, Rennes, 1992, pp. 219–221. (1992) 
70. 10.1080/03610919208813071, Comm.  Statist.  Simulation Comput. 21 (1992), 1171–1180. (1992) DOI10.1080/03610919208813071
71. Znovu k české terminologii: pohled z jiné strany, [Once more on Czech terminology: a view from another side.] Informační bulletin České statistické společnosti 6 (1995), 11–14. (Czech) (1995) 
72. Postscriptum o české statistické terminologii, [Postscript on Czech statistical terminology.] Informační bulletin České statistické společnosti 7 (1996), 11–12. (1996) 
73. Theory of Rank Tests (2nd Ed.), Academic Press, San Diego, 1999. (1999) MR1680991
74. 10.1090/S0002-9939-1955-0072446-8, Proc. Amer.  Math.  Soc. 6 (1955), 565–570. (1955) Zbl0066.11003MR0072446DOI10.1090/S0002-9939-1955-0072446-8
75. Gaussian Measures, American Mathematical Society, Providence, 1998. (1998) Zbl0938.28010MR1642391
76. Stochastic Models for Learning, John Wiley & Sons, New York, 1955. (1955) MR0070143
77. 10.1214/aoms/1177705142, Ann.  Math. Statist. 32 (1961), 88–100. (1961) Zbl0107.13703MR0120739DOI10.1214/aoms/1177705142
78. The Ergodic Theory of Markov Processes, Van Nostrand Reinhold, New York, 1969. (1969) Zbl0282.60037MR0261686
79. The ergodic theory of positive operators on continuous functions, Ann. Scuola Norm.  Sup.  Pisa Cl. Sci.  (3) 27 (1973), 19–51. (1973) Zbl0258.47010MR0372154
80. 10.1007/BF01682330, Ann.  Inst.  Statist.  Math.  11 (1959/60), 211–219. (1959/60) MR0119315DOI10.1007/BF01682330
81. 10.1214/aoms/1177698394, Ann.  Math.  Statist. 39 (1968), 325–346. (1968) MR0222988DOI10.1214/aoms/1177698394
82. 10.1214/aoms/1177704172, Ann.  Math. Statist. 34 (1963), 598–611. (1963) MR0152070DOI10.1214/aoms/1177704172
83. On some spectral properties of a transition matrix, Sankhya A 28 (1966), 205–214. (1966) MR0211466
84. Contributions to Doeblin’s theory of Markov processes, Z.  Wahrscheinlichkeitstheorie verw. Gebiete 8 (1967), 19–40. (1967) MR0221591
85. 10.1007/BF00533943, Z. Wahrscheinlichkeitstheorie verw. Gebiete 8 (1967), 41–48. (1967) MR0215370DOI10.1007/BF00533943
86. 10.1214/aoms/1177697273, Ann.  Math. Statist. 40 (1969), 1889–1900. (1969) MR0248931DOI10.1214/aoms/1177697273
87. Unitary dilations of Markov transition operators and the corresponding integral representations for transition-probability matrices, In: Probability and Statistics: The Harald Cramér Volume, Almqvist & Wiksell, Stockholm, and John Wiley & Sons, New York, 1959, pp. 139–161. (1959) Zbl0117.35801MR0116389
88. 10.1214/aoms/1177698618, Ann.  Math.  Statist. 38 (1967), 1853–1867. (1967) Zbl0155.27103MR0220392DOI10.1214/aoms/1177698618
89. 10.1007/BF02506363, Ann.  Inst.  Statist.  Math. 22 (1970), 451–458. (1970) Zbl0294.62013MR0283913DOI10.1007/BF02506363
90. 10.1214/aoms/1177704576, Ann.  Math.  Statist. 33 (1962), 498–512. (1962) Zbl0107.36303MR0137241DOI10.1214/aoms/1177704576
91. 10.1214/ECP.v4-1012, Electron.  Comm.  Probab. 4 (1999), 111–118. (1999) Zbl0937.60026MR1741737DOI10.1214/ECP.v4-1012
92. 10.1215/S0012-7094-58-02561-4, Duke Math.  J. 25 (1958), 671–690. (1958) Zbl0084.13402MR0101555DOI10.1215/S0012-7094-58-02561-4
93. Limit Theorems for Markov Chain Transition Probabilities, Van Nostrand Reinhold, New York, 1971. (1971) Zbl0295.60054MR0324774
94. 10.1214/aoms/1177728854, Ann.  Math.  Statist. 25 (1954), 146–150. (1954) Zbl0056.37602MR0061314DOI10.1214/aoms/1177728854
95. Equicontinuous Markov operators, Teor.  Veroyatnost.  i Primenen. 9 (1964), 205–222. (1964) MR0171318
96. Integral Geometry and Geometric Probability, Addison-Wesley Publishing Co., Reading (Mass.), 1976. (1976) MR0433364
97. 10.1214/aop/1022855422, Ann.  Probab. 26 (1998), 346–357. (1998) MR1617052DOI10.1214/aop/1022855422
98. 10.1214/aoms/1177699083, Ann.  Math.  Statist. 38 (1967), 278–280. (1967) MR0220395DOI10.1214/aoms/1177699083
99. 10.1002/j.1538-7305.1962.tb02419.x, Bell System Tech.  J. 41 (1962), 463–501. (1962) MR0133183DOI10.1002/j.1538-7305.1962.tb02419.x
100. Stochastic Geometry and its Applications, J. Wiley & Sons, Chichester, 1995. (1995) MR0895588
101. 10.1080/01621459.1970.10481159, J.  Amer.  Statist.  Assoc. 65 (1970), 1243–1247. (1970) Zbl0225.62067DOI10.1080/01621459.1970.10481159
102. A quick, compact, two sample test to Duckworth’s specifications, Technometrics 1 (1959), 31–38. (1959) MR0106527
103. $R$-theory for Markov chains on a general state space, I: solidarity properties and $R$-recurrent chains, II: $r$-subinvariant measures for $r$-transient chains, Ann. Probab. 2 (1974), 840–864, 865–878. (1974) 
104. 10.2140/pjm.1967.22.361, Pacific  J.  Math. 22 (1967), 361–386. (1967) MR0214145DOI10.2140/pjm.1967.22.361
105. Konechno additivnye mery i metod rasshireniya v èrgodicheskoĭ teorii tsepeĭ Markova. [Finitely additive measures and an extension method in the ergodic theory of Markov chains], In: Raspredeleniya na funktsionalnykh strukturakh, Inst.  mat.  AN USSR, Kiev, 1987, pp. 19–37. (Russian) (1987)