Krajka, Andrzej; Rychlik, Zdzisław; Wasiura-Maślany, Joanna On the almost sure convergence of randomly indexed maximum of random variables. (English) Zbl 1436.60033 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 73, No. 2, 91-104 (2019). MSC: 60F05 60F15 60G70 PDFBibTeX XMLCite \textit{A. Krajka} et al., Ann. Univ. Mariae Curie-Skłodowska, Sect. A 73, No. 2, 91--104 (2019; Zbl 1436.60033) Full Text: DOI OA License
Krajka, Tomasz K.; Rychlik, Zdzisław The limiting behaviour of sums and maximums of iid random variables from the viewpoint of different observers. (English) Zbl 1312.60014 Probab. Math. Stat. 34, No. 2, 237-252 (2014). MSC: 60F05 60G70 PDFBibTeX XMLCite \textit{T. K. Krajka} and \textit{Z. Rychlik}, Probab. Math. Stat. 34, No. 2, 237--252 (2014; Zbl 1312.60014) Full Text: Link
Rychlik, Zdzisław; Szuster, Konrad S. On the random functional central limit theorems with almost sure convergence for subsequences. (English) Zbl 1260.60039 Demonstr. Math. 45, No. 2, 283-296 (2012). MSC: 60F05 60F15 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{K. S. Szuster}, Demonstr. Math. 45, No. 2, 283--296 (2012; Zbl 1260.60039) Full Text: DOI OA License
Krajka, Tomasz K.; Rychlik, Zdzisław Limit theorems for products of sums of independent random variables. (English) Zbl 1200.60022 Probab. Math. Stat. 30, No. 1, 73-85 (2010). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{T. K. Krajka} and \textit{Z. Rychlik}, Probab. Math. Stat. 30, No. 1, 73--85 (2010; Zbl 1200.60022) Full Text: Link
Krajka, Tomasz; Rychlik, Zdzisław The speed of convergence of random products of sums of independent random variables. (English) Zbl 1382.60049 J. Math. Appl. 31, 51-66 (2009). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{T. Krajka} and \textit{Z. Rychlik}, J. Math. Appl. 31, 51--66 (2009; Zbl 1382.60049)
Rychlik, Zdzisław; Skublewski, Wojciech; Walczyński, Tomasz On the random functional central limit theorems in \(L^2[0,1]\) with almost sure convergence. (English) Zbl 1164.60010 Acta Sci. Math. 73, No. 3-4, 745-765 (2007). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60F05 60G15 60F17 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik} et al., Acta Sci. Math. 73, No. 3--4, 745--765 (2007; Zbl 1164.60010)
Orzóg, Monika; Rychlik, Zdzisław On the random functional central limit theorems with almost sure convergence. (English) Zbl 1131.60022 Probab. Math. Stat. 27, No. 1, 125-138 (2007). Reviewer: A. J. Stam (Winsum) MSC: 60F17 60F05 60F15 60G50 PDFBibTeX XMLCite \textit{M. Orzóg} and \textit{Z. Rychlik}, Probab. Math. Stat. 27, No. 1, 125--138 (2007; Zbl 1131.60022)
Csáki, Endre; Csörgő, Miklós; Rychlik, Zdzisław; Steinebach, Josef On Vervaat and Vervaat-error-type processes for partial sums and renewals. (English) Zbl 1108.60029 J. Stat. Plann. Inference 137, No. 3, 953-966 (2007). MSC: 60F17 60F05 60F15 PDFBibTeX XMLCite \textit{E. Csáki} et al., J. Stat. Plann. Inference 137, No. 3, 953--966 (2007; Zbl 1108.60029) Full Text: DOI arXiv
Fazekas, István; Rychlik, Zdzisław Almost sure limit theorems for semi-selfsimilar processes. (English) Zbl 1122.60033 Probab. Math. Stat. 25, No. 2, 241-255 (2005). MSC: 60F15 60F17 60G18 28D05 PDFBibTeX XMLCite \textit{I. Fazekas} and \textit{Z. Rychlik}, Probab. Math. Stat. 25, No. 2, 241--255 (2005; Zbl 1122.60033)
Ćwiklińska, Iwona; Rychlik, Zdzisław Weak convergence of random sums and maximum random sums under nonrandom norming. (English) Zbl 1073.60019 Horvárth, Lajos (ed.) et al., Asymptotic methods in stochastics. Festschrift for Miklós Csörgő. Proceedings of the international conference, held in honour of the work of Miklós Csörgő on the occasion of his 70th birthday, Ottawa, Canada, May 23–25, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3561-0/hbk). Fields Institute Communications 44, 245-263 (2004). Reviewer: Wilfried Hazod (Dortmund) MSC: 60F05 60G50 60G70 PDFBibTeX XMLCite \textit{I. Ćwiklińska} and \textit{Z. Rychlik}, Fields Inst. Commun. 44, 245--263 (2004; Zbl 1073.60019)
Rychlik, Zdzisław; Szuster, Konrad S. Some remarks on the almost sure central limit theorem for independent random variables. (English) Zbl 1057.60030 Probab. Math. Stat. 23, No. 2, 241-249 (2003). Reviewer: Anatoli Mogulskij (Novosibirsk) MSC: 60F15 60F05 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{K. S. Szuster}, Probab. Math. Stat. 23, No. 2, 241--249 (2003; Zbl 1057.60030)
Rychlik, Zdzisław; Szuster, Konrad S. On strong versions of the central limit theorem. (English) Zbl 1039.60029 Stat. Probab. Lett. 61, No. 4, 347-357 (2003). MSC: 60F15 60F05 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{K. S. Szuster}, Stat. Probab. Lett. 61, No. 4, 347--357 (2003; Zbl 1039.60029) Full Text: DOI
Fazekas, István; Rychlik, Zdzisław Almost sure central limit theorems for random fields. (English) Zbl 1028.60019 Math. Nachr. 259, 12-18 (2003). MSC: 60F05 60F17 60F15 PDFBibTeX XMLCite \textit{I. Fazekas} and \textit{Z. Rychlik}, Math. Nachr. 259, 12--18 (2003; Zbl 1028.60019) Full Text: DOI
Fazekas, István; Rychlik, Zdzisław Almost sure functional limit theorems. (English) Zbl 1050.60039 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 56, 1-18 (2002). Reviewer: Kestutis Kubilius (Vilnius) MSC: 60F17 60F15 60F05 PDFBibTeX XMLCite \textit{I. Fazekas} and \textit{Z. Rychlik}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 56, 1--18 (2002; Zbl 1050.60039)
Czerebak-Mrozowicz, Ewa B.; Klesov, Oleg I.; Rychlik, Zdzisław Marcinkiewicz-type strong law of large numbers for pairwise independent random fields. (English) Zbl 1013.60029 Probab. Math. Stat. 22, No. 1, 127-139 (2002). Reviewer: B.L.S.Prakasa Rao (New Delhi) MSC: 60G60 PDFBibTeX XMLCite \textit{E. B. Czerebak-Mrozowicz} et al., Probab. Math. Stat. 22, No. 1, 127--139 (2002; Zbl 1013.60029)
Klesov, Oleg; Rychlik, Zdzisław; Steinebach, Josef Strong limit theorems for general renewal processes. (English) Zbl 1001.60024 Probab. Math. Stat. 21, No. 2, 329-349 (2001). Reviewer: Allan Gut (Uppsala) MSC: 60E15 60K05 PDFBibTeX XMLCite \textit{O. Klesov} et al., Probab. Math. Stat. 21, No. 2, 329--349 (2001; Zbl 1001.60024)
Rychlik, Z.; Walczyński, T. Convergence in law of random sums with nonrandom centering. (English) Zbl 1005.60041 J. Math. Sci., New York 106, No. 2, 2860-2864 (2001). Reviewer: Nikolai N.Leonenko (Cardiff) MSC: 60F05 60F17 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{T. Walczyński}, J. Math. Sci., New York 106, No. 2, 2860--2864 (2001; Zbl 1005.60041) Full Text: DOI
Gajowiak, I.; Rychlik, Z. Weak convergence of randomly indexed sequences of random variables. (English) Zbl 1013.60015 J. Math. Sci., New York 106, No. 1, 2657-2664 (2001). Reviewer: Nikolai N.Leonenko (Cardiff) MSC: 60F05 60E05 PDFBibTeX XMLCite \textit{I. Gajowiak} and \textit{Z. Rychlik}, J. Math. Sci., New York 106, No. 1, 2657--2664 (2001; Zbl 1013.60015) Full Text: DOI
Rodzik, Beata; Rychlik, Zdzisław Amost sure central limit theorems for weakly dependent random variables. (English) Zbl 0978.60020 Demonstr. Math. 34, No. 2, 375-384 (2001). Reviewer: Peter Schatte (Freiberg) MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{B. Rodzik} and \textit{Z. Rychlik}, Demonstr. Math. 34, No. 2, 375--384 (2001; Zbl 0978.60020) Full Text: DOI OA License
Klesov, O. I.; Rychlik, Z. Strong law of large numbers on partially ordered sets. (English. Russian original) Zbl 0943.60025 Theory Probab. Math. Stat. 58, 35-41 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 31-37 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{Z. Rychlik}, Teor. Ĭmovirn. Mat. Stat. 58, 31--37 (1998; Zbl 0943.60025); translation from Teor. Jmovirn. Mat. Stat. 58, 31--37 (1998)
Kowalski, Piotr; Rychlik, Zdzisław Limit theorems for maximal random sums. (English) Zbl 0933.60009 Szyszkowicz, Barbara (ed.), Asymptotic methods in probability and statistics. A volume in honour of Miklós Csörgő. ICAMPS ’97, an international conference at Carleton Univ., Ottawa, Ontario, Canada, July 1997. Amsterdam: North-Holland/ Elsevier. 13-29 (1998). Reviewer: V.M.Kruglov (Moskva) MSC: 60F05 PDFBibTeX XMLCite \textit{P. Kowalski} and \textit{Z. Rychlik}, in: Asymptotic methods in probability and statistics. A volume in honour of Miklós Csörgő. ICAMPS '97, an international conference at Carleton Univ., Ottawa, Ontario, Canada, July 1997. Amsterdam: North-Holland/ Elsevier. 13--29 (1998; Zbl 0933.60009)
Kowalski, Piotr; Rychlik, Zdzisław On the weak law of large numbers for randomly indexed partial sums for arrays. (English) Zbl 0899.60016 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 51, No. 1, 109-119 (1997). Reviewer: A.K.Basu (Calcutta) MSC: 60F05 60G40 60G42 PDFBibTeX XMLCite \textit{P. Kowalski} and \textit{Z. Rychlik}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 51, No. 1, 109--119 (1997; Zbl 0899.60016)
Krzyż, Jan G. (ed.); Rychlik, Zdzisław (ed.) Papers dedicated to Professor Dominik Szynal on the occasion of his 60th birthday. (English) Zbl 0892.00058 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 51, No. 1, 214 p. (1997). MSC: 00B30 PDFBibTeX XML
Rodzik, Beata; Rychlik, Zdzisław On the central limit theorem for independent random variables with almost sure convergence. (English) Zbl 0874.60022 Probab. Math. Stat. 16, No. 2, 299-309 (1996). Reviewer: N.G.Gamkrelidze (Moskva) MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{B. Rodzik} and \textit{Z. Rychlik}, Probab. Math. Stat. 16, No. 2, 299--309 (1996; Zbl 0874.60022)
Kowalski, Piotr; Rychlik, Zdzisław On the products of a random number of independent random variables. (English) Zbl 0838.60020 Bull. Pol. Acad. Sci., Math. 43, No. 3, 219-230 (1995). MSC: 60F05 62E10 91B28 PDFBibTeX XMLCite \textit{P. Kowalski} and \textit{Z. Rychlik}, Bull. Pol. Acad. Sci., Math. 43, No. 3, 219--230 (1995; Zbl 0838.60020)
Lagodowski, Z. A.; Rychlik, Z. Rates of convergence in the weak law for martingale random fields. (English) Zbl 0935.60026 Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25-October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 131-142 (1995). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60G42 60G60 PDFBibTeX XMLCite \textit{Z. A. Lagodowski} and \textit{Z. Rychlik}, in: New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25--October 1, 1992. Kiev: TViMS. 131--142 (1995; Zbl 0935.60026)
Rodzik, Beata; Rychlik, Zdzisław An almost sure central limit theorem for independent random variables. (English) Zbl 0793.60023 Ann. Inst. Henri Poincaré, Probab. Stat. 30, No. 1, 1-11 (1994). Reviewer: A.K.Basu (Calcutta) MSC: 60F05 60F15 60G50 PDFBibTeX XMLCite \textit{B. Rodzik} and \textit{Z. Rychlik}, Ann. Inst. Henri Poincaré, Probab. Stat. 30, No. 1, 1--11 (1994; Zbl 0793.60023) Full Text: Numdam EuDML
Krajka, A.; Rychlik, Z. The rate of convergence of sums of independent random variables to a stable law. (English) Zbl 0805.60014 Probab. Math. Stat. 14, No. 1, 63-75 (1993). Reviewer: A.D.Barbour (Zürich) MSC: 60F05 60E07 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Probab. Math. Stat. 14, No. 1, 63--75 (1993; Zbl 0805.60014)
Krajka, A.; Rychlik, Z. Necessary and sufficient conditions for weak convergence of random sums of independent random variables. (English) Zbl 0785.60016 Commentat. Math. Univ. Carol. 34, No. 3, 465-482 (1993). Reviewer: V.Koval’ (Ternopil) MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Commentat. Math. Univ. Carol. 34, No. 3, 465--482 (1993; Zbl 0785.60016) Full Text: EuDML
Krajka, Andrzej; Rychlik, Zdzisław The rate of convergence of randomly indexed sums of independent random variables to a stable law. (English) Zbl 0820.60013 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 46, 43-56 (1992). MSC: 60F05 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 46, 43--56 (1992; Zbl 0820.60013)
Rychlik, Z.; Zygo, J. Strassen’s invariance principle for random subsequences. (English) Zbl 0751.60031 Stat. Probab. Lett. 13, No. 3, 193-197 (1992). Reviewer: A.M.Zapała (Lublin) MSC: 60F17 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{J. Zygo}, Stat. Probab. Lett. 13, No. 3, 193--197 (1992; Zbl 0751.60031) Full Text: DOI
Krajka, A.; Rychlik, Z. On weak and moments convergence of randomly indexed sums. (English) Zbl 0766.60029 Math. Nachr. 157, 249-261 (1992). Reviewer: M.Iosifescu (Bucureşti) MSC: 60F05 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Math. Nachr. 157, 249--261 (1992; Zbl 0766.60029) Full Text: DOI
Rychlik, Z.; Zygo, J. Almost sure convergence of sequences with random indices. (English) Zbl 0746.60033 Yokohama Math. J. 38, No. 2, 95-101 (1991). Reviewer: R.Vasudeva (Mysore) MSC: 60F15 60G40 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{J. Zygo}, Yokohama Math. J. 38, No. 2, 95--101 (1991; Zbl 0746.60033)
Łagodowski, Z. A.; Rychlik, Z. Weak convergence of sequences of random elements with multidimensional random indices. (English) Zbl 0825.60009 Publ. Math. Debr. 37, No. 1-2, 35-40 (1990). MSC: 60B10 60G60 60F05 PDFBibTeX XMLCite \textit{Z. A. Łagodowski} and \textit{Z. Rychlik}, Publ. Math. Debr. 37, No. 1--2, 35--40 (1990; Zbl 0825.60009)
Matula, Przemyslaw; Rychlik, Zdzislaw Distribution and moment convergence of sums of associated random variables. (English) Zbl 0729.60020 Math. Pannonica 1, No. 2, 117-123 (1990). MSC: 60F05 62H20 PDFBibTeX XMLCite \textit{P. Matula} and \textit{Z. Rychlik}, Math. Pannonica 1, No. 2, 117--123 (1990; Zbl 0729.60020)
Matuła, Przemysław; Rychlik, Zdzisław The invariance principle for nonstationary sequences of associated random variables. (English) Zbl 0707.60004 Ann. Inst. Henri Poincaré, Probab. Stat. 26, No. 3, 387-397 (1990). Reviewer: S.A.Chobanjan MSC: 60B10 60F17 60F05 60B12 28C20 PDFBibTeX XMLCite \textit{P. Matuła} and \textit{Z. Rychlik}, Ann. Inst. Henri Poincaré, Probab. Stat. 26, No. 3, 387--397 (1990; Zbl 0707.60004) Full Text: Numdam EuDML
Krajka, A.; Rychlik, Z. On the rate of convergence in the random central limit theorem in Hilbert space. (English) Zbl 0741.60006 Probab. Math. Stat. 11, No. 1, 97-108 (1990). Reviewer: V.Sakalauskas (Kaunas) MSC: 60B12 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Probab. Math. Stat. 11, No. 1, 97--108 (1990; Zbl 0741.60006)
Krajka, A.; Rychlik, Z. The order of approximation in the invariance principle for H-valued random sums. (English) Zbl 0721.60035 Sankhyā, Ser. A 51, No. 3, 295-308 (1989). Reviewer: K.Kubilius (Vilnius) MSC: 60F17 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Sankhyā, Ser. A 51, No. 3, 295--308 (1989; Zbl 0721.60035)
Gruszecki, Lech E.; Rychlik, Zdzisław Inequalities for conditioned normal approximations. (English) Zbl 0673.60027 Demonstr. Math. 21, No. 2, 431-440 (1988). Reviewer: L.E.Gruszecki MSC: 60F05 PDFBibTeX XMLCite \textit{L. E. Gruszecki} and \textit{Z. Rychlik}, Demonstr. Math. 21, No. 2, 431--440 (1988; Zbl 0673.60027)
Krajka, A.; Rychlik, Z. On the limit behaviour of randomly indexed sums of independent random variables. (English) Zbl 0659.60040 Lit. Mat. Sb. 28, No. 3, 484-494 (1988). Reviewer: A.K.Basu MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Litov. Mat. Sb. 28, No. 3, 484--494 (1988; Zbl 0659.60040)
Krajka, A.; Rychlik, Z. The order of approximation in the central limit theorem for random summation. (English) Zbl 0643.60021 Acta Math. Hung. 51, No. 1-2, 109-115 (1988). Reviewer: A.Krajka MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Acta Math. Hung. 51, No. 1--2, 109--115 (1988; Zbl 0643.60021) Full Text: DOI
Polak, M.; Rychlik, Z. Nonuniform central limit bounds and their applications. (English) Zbl 0663.60021 Colloq. Math. 54, No. 1, 149-158 (1987). Reviewer: V.Sakalauskas MSC: 60F05 60F10 PDFBibTeX XMLCite \textit{M. Polak} and \textit{Z. Rychlik}, Colloq. Math. 54, No. 1, 149--158 (1987; Zbl 0663.60021) Full Text: DOI
Rychlik, Z.; Szyszkowski, I. The invariance principle for \(\phi\)-mixing sequences. (English) Zbl 0648.60035 Theory Probab. Appl. 32, No. 3, 559-562 (1987). MSC: 60F17 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{I. Szyszkowski}, Theory Probab. Appl. 32, No. 3, 559--562 (1987; Zbl 0648.60035) Full Text: DOI
Rychlik, Zdzisław; Szyszkowski, Ireneusz Weak convergence of integral type functionals. (English) Zbl 0644.60031 Probability theory and mathematical statistics, Proc. 4th Conf., Vilnius/USSR 1985, Vol. 2, 525-533 (1987). MSC: 60F17 60J65 PDFBibTeX XML
Krajka, A.; Rychlik, Z. On the difference between the distribution functions of two random sums of independent random variables. (English) Zbl 0635.60023 Math. Nachr. 134, 317-322 (1987). Reviewer: A.Krajka MSC: 60F05 60E10 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Math. Nachr. 134, 317--322 (1987; Zbl 0635.60023) Full Text: DOI
Rychlik, Z.; Szyszkowski, I. The invariance principle for \(\phi\)-mixing sequences. (English) Zbl 0626.60031 Teor. Veroyatn. Primen. 32, No. 3, 616-619 (1987). Reviewer: A.R.Dabrowski MSC: 60F17 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{I. Szyszkowski}, Teor. Veroyatn. Primen. 32, No. 3, 616--619 (1987; Zbl 0626.60031)
Rychlik, Z.; Szyszkowski, I. A weak convergence theorem for functionals of sums of martingale differences. (English) Zbl 0618.60028 Math. Nachr. 130, 151-155 (1987). MSC: 60F05 60G42 60J65 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{I. Szyszkowski}, Math. Nachr. 130, 151--155 (1987; Zbl 0618.60028) Full Text: DOI
Paditz, Ludwig; Rychlik, Zdzisław A note on the Katz type theorem for random sums. (English) Zbl 0629.60054 Bull. Pol. Acad. Sci., Math. 34, 723-727 (1986). Reviewer: Ch.Hipp MSC: 60G50 60F05 PDFBibTeX XMLCite \textit{L. Paditz} and \textit{Z. Rychlik}, Bull. Pol. Acad. Sci., Math. 34, 723--727 (1986; Zbl 0629.60054)
Krajka, Andrzej; Rychlik, Zdzisław Approximation of the distribution function of sums of a random number of random variables. (English) Zbl 0615.60022 Bull. Pol. Acad. Sci., Math. 34, 626-634 (1986). Reviewer: H.Bergström MSC: 60F05 60E07 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Bull. Pol. Acad. Sci., Math. 34, 626--634 (1986; Zbl 0615.60022)
Łagodowski, Z. A.; Rychlik, Z. Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices. (English) Zbl 0613.60028 Probab. Math. Stat. 7, 150-158 (1986). Reviewer: A.Gut MSC: 60F15 60G50 60G60 PDFBibTeX XMLCite \textit{Z. A. Łagodowski} and \textit{Z. Rychlik}, Probab. Math. Stat. 7, 150--158 (1986; Zbl 0613.60028)
Łagodowski, Zbigniew A.; Rychlik, Zdzisław Weak convergence of probability measures on the function space \(D_ d[0,\infty)\). (English) Zbl 0612.60002 Bull. Pol. Acad. Sci., Math. 34, 329-335 (1986). Reviewer: A.J.Rachkauskas MSC: 60B10 PDFBibTeX XMLCite \textit{Z. A. Łagodowski} and \textit{Z. Rychlik}, Bull. Pol. Acad. Sci., Math. 34, 329--335 (1986; Zbl 0612.60002)
Łagodowski, Z. A.; Rychlik, Z. Rate of convergence in the strong law of large numbers for martingales. (English) Zbl 0555.60021 Probab. Theory Relat. Fields 71, 467-476 (1986). MSC: 60F15 60G42 PDFBibTeX XMLCite \textit{Z. A. Łagodowski} and \textit{Z. Rychlik}, Probab. Theory Relat. Fields 71, 467--476 (1986; Zbl 0555.60021) Full Text: DOI
Rychlik, Z. Some remarks on stable sequences of random variables. (English) Zbl 0658.60047 Sequential methods in statistics, Banach Cent. Publ. 16, 455-463 (1985). MSC: 60F05 60E07 PDFBibTeX XML
Csörgö, Sándor; Rychlik, Zdzisław Rate of convergence in the strong law of large numbers. (English) Zbl 0604.60028 Probab. Math. Stat. 5, 99-111 (1985). MSC: 60F15 PDFBibTeX XMLCite \textit{S. Csörgö} and \textit{Z. Rychlik}, Probab. Math. Stat. 5, 99--111 (1985; Zbl 0604.60028)
Rychlik, Z.; Szyszkowski, I. On the rate of convergence for linear functionals of sums of martingale differences. (English) Zbl 0601.60034 Probability and statistical decision theory, Proc. 4th Pannonian Symp. Math. Stat., Bad Tatzmannsdorf/Austria 1983, Vol. A, 301-310 (1985). Reviewer: E.Dettweiler MSC: 60F17 60G42 60J65 PDFBibTeX XML
Rychlik, Z.; Szyszkowski, I. Weak convergence theorem for functionals of sums of reversed martingale arrays. (English) Zbl 0589.60019 Yokohama Math. J. 33, 21-28 (1985). Reviewer: K.Yoshihara MSC: 60F05 60G42 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{I. Szyszkowski}, Yokohama Math. J. 33, 21--28 (1985; Zbl 0589.60019)
Łagodowski, Zbigniew A.; Rychlik, Zdzisław Complete convergence and convergence rates for randomly indexed sums of random variables with multidimensional indices. (English) Zbl 0574.60040 Bull. Pol. Acad. Sci., Math. 33, 219-223 (1985). Reviewer: A.Gut MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{Z. A. Łagodowski} and \textit{Z. Rychlik}, Bull. Pol. Acad. Sci., Math. 33, 219--223 (1985; Zbl 0574.60040)
Krajka, Andrzej; Rychlik, Zdzisław Weak convergence of random reversed martingales with o-rates. (English) Zbl 0566.60024 Bull. Pol. Acad. Sci., Math. 33, 65-71 (1985). Reviewer: N.Weber MSC: 60F05 60G42 PDFBibTeX XMLCite \textit{A. Krajka} and \textit{Z. Rychlik}, Bull. Pol. Acad. Sci., Math. 33, 65--71 (1985; Zbl 0566.60024)
Rychlik, Zdzisław A remainder term estimate in a random-sum central limit theorem. (English) Zbl 0564.60024 Bull. Pol. Acad. Sci., Math. 33, 57-63 (1985). MSC: 60F05 PDFBibTeX XMLCite \textit{Z. Rychlik}, Bull. Pol. Acad. Sci., Math. 33, 57--63 (1985; Zbl 0564.60024)
Łagodowski, Zbigniew A.; Rychlik, Zdzisław Some remarks on the strong law of large numbers for random fields. (English) Zbl 0564.60034 Bull. Pol. Acad. Sci., Math. 32, 129-134 (1984). Reviewer: M.Mürmann MSC: 60F15 60G60 PDFBibTeX XMLCite \textit{Z. A. Łagodowski} and \textit{Z. Rychlik}, Bull. Pol. Acad. Sci., Math. 32, 129--134 (1984; Zbl 0564.60034)
Rychlik, Z. Non-uniform central limit bounds with applications to probabilities of deviations. (English) Zbl 0561.60035 Theory Probab. Appl. 28, 681-687 (1984). MSC: 60F10 60F05 PDFBibTeX XMLCite \textit{Z. Rychlik}, Theory Probab. Appl. 28, 681--687 (1984; Zbl 0561.60035) Full Text: DOI
Rychlik, Z.; Szyszkowski, I. On the rate of convergence for distributions of integral type functionals. (English) Zbl 0546.60057 Probability theory on vector spaces III, Proc. Conf., Lublin/Pol. 1983, Lect. Notes Math. 1080, 255-275 (1984). MSC: 60H05 60G42 60F05 PDFBibTeX XML
Rychlik, Zdzisław; Szyszkowski, Ireneusz Weak convergence of functionals of sums for martingale differences. (English) Zbl 0543.60041 Bull. Pol. Acad. Sci., Math. 31, 407-413 (1983). Reviewer: S.Chun MSC: 60F17 60G42 60J65 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{I. Szyszkowski}, Bull. Pol. Acad. Sci., Math. 31, 407--413 (1983; Zbl 0543.60041)
Rychlik, E.; Rychlik, Z. On the rates of convergence in the generalized Anscombe theorem. (Russian. English summary) Zbl 0539.60012 Litov. Mat. Sb. 23, No. 3, 127-133 (1983). Reviewer: V.Paulauskas MSC: 60B12 PDFBibTeX XMLCite \textit{E. Rychlik} and \textit{Z. Rychlik}, Litov. Mat. Sb. 23, No. 3, 127--133 (1983; Zbl 0539.60012)
Rychlik, Z. Nonuniform central limit bounds with applications to probabilities of deviations. (English) Zbl 0531.60028 Teor. Veroyatn. Primen. 28, No. 4, 646-652 (1983). Reviewer: A..Plikusas MSC: 60F10 60F05 PDFBibTeX XMLCite \textit{Z. Rychlik}, Teor. Veroyatn. Primen. 28, No. 4, 646--652 (1983; Zbl 0531.60028)
Csoergoe, M.; Rychlik, Z. Asymptotic properties of randomly indexed sequences of random variables. (English) Zbl 0474.60019 Can. J. Stat. 9, 101-107 (1981). MSC: 60F05 62E20 62L12 PDFBibTeX XMLCite \textit{M. Csoergoe} and \textit{Z. Rychlik}, Can. J. Stat. 9, 101--107 (1981; Zbl 0474.60019) Full Text: DOI
Rychlik, Z. Berry-Esseen inequality for the sum of a random number of independent random variables. (English) Zbl 0453.60030 Math. Notes 28, 616-617 (1981). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik}, Math. Notes 28, 616--617 (1981; Zbl 0453.60030) Full Text: DOI
Rychlik, Zdzislaw Limit distributions of randomly indexed sequences of random variables. (English) Zbl 0603.60019 Uniwersytet Marii Curie-Sklodowskiej, Instytut Matematyki. 124 p. (1980). Reviewer: D.Szynal MSC: 60F05 60G42 PDFBibTeX XML
Rychlik, E.; Rychlik, Z. The generalized Anscombe condition and its applications in random limit theorems. (English) Zbl 0447.60020 Probability theory on vector spaces II, Proc., Blazejewko/Poland 1979, Lect. Notes Math. 828, 244-250 (1980). MSC: 60F05 PDFBibTeX XML
Csörgö, M.; Rychlik, Z. Weak convergence of sequences of random elements with random indices. (English) Zbl 0441.60030 Math. Proc. Camb. Philos. Soc. 88, 171-174 (1980). MSC: 60F17 PDFBibTeX XMLCite \textit{M. Csörgö} and \textit{Z. Rychlik}, Math. Proc. Camb. Philos. Soc. 88, 171--174 (1980; Zbl 0441.60030) Full Text: DOI
Rychlik, Z. On Barry-Esseen’s inequality for sums of a random number of independent random variables. (Russian) Zbl 0441.60018 Mat. Zametki 28, 301-304 (1980). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik}, Mat. Zametki 28, 301--304 (1980; Zbl 0441.60018)
Rychlik, Z.; Szynal, D. On the rate of approximation in the random-sum central limit theorem. (English) Zbl 0435.60021 Theory Probab. Appl. 24, 620-625 (1980). MSC: 60F05 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{D. Szynal}, Theory Probab. Appl. 24, 620--625 (1980; Zbl 0435.60021) Full Text: DOI
Rychlik, Z.; Szynal, D. On the rate of convergence in the central limit theorem. (English) Zbl 0435.60020 Probability theory, Warsaw 1976, Banach Cent. Publ. 5, 221-229 (1979). MSC: 60F05 PDFBibTeX XML Full Text: EuDML
Rychlik, Z. Martingale random central limit theorems. (English) Zbl 0428.60031 Acta Math. Acad. Sci. Hung. 34, 129-139 (1979). MSC: 60F05 60G42 60F17 PDFBibTeX XMLCite \textit{Z. Rychlik}, Acta Math. Acad. Sci. Hung. 34, 129--139 (1979; Zbl 0428.60031) Full Text: DOI
Rychlik, Z. Über die Konvergenzgeschwindigkeit in gewissen Grenzwertsätzen für die Summen einer zufälligen Anzahl zufälliger Summanden. (Russian) Zbl 0414.60026 Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1979, No. 1, 25-29 (1979). MSC: 60F05 PDFBibTeX XMLCite \textit{Z. Rychlik}, Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1979, No. 1, 25--29 (1979; Zbl 0414.60026)
Rychlik, Z.; Szynal, D. On the rate of approximation in the random-sum central limit theorem. (English) Zbl 0413.60016 Teor. Veroyatn. Primen. 24, 614-620 (1979). MSC: 60F05 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{D. Szynal}, Teor. Veroyatn. Primen. 24, 614--620 (1979; Zbl 0413.60016)
Rychlik, Z. A central limit theorem for martingales. (English) Zbl 0392.60026 Litov. Mat. Sb. 18, No. 4, 139-145 (1978). MSC: 60F05 60G42 PDFBibTeX XMLCite \textit{Z. Rychlik}, Litov. Mat. Sb. 18, No. 4, 139--145 (1978; Zbl 0392.60026)
Rychlik, Z. Rate of convergence in the random-sum central limit theorem. (English) Zbl 0389.60016 Lith. Math. J. 17(1977), 114-119 (1978). MSC: 60F05 PDFBibTeX XMLCite \textit{Z. Rychlik}, Lith. Math. J. 17, 114--119 (1978; Zbl 0389.60016) Full Text: DOI
Rychlik, Z. The order of approximation in the random central limit theorem. (English) Zbl 0385.60031 Probab. Theory on Vector Spaces, Proc. Conf. Trzebieszowice 1977, Lect. Notes Math. 656, 225-236 (1978). MSC: 60F05 60G50 PDFBibTeX XML
Rychlik, Z. On the rate of convergence in the random-sum central limit theorem. (English) Zbl 0389.60015 Litov. Mat. Sb./Lietuv. Mat. Rink. 17, No. 1, 171-178 (1977). MSC: 60F05 PDFBibTeX XMLCite \textit{Z. Rychlik}, Litov. Mat. Sb. 17, No. 1, 171--178 (1977; Zbl 0389.60015)
Rychlik, Z.; Szynal, D. Inflated truncated negative binomial acceptance sampling plan. (English) Zbl 0369.62013 Apl. Mat. 22, 157-165 (1977). MSC: 62D05 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{D. Szynal}, Apl. Mat. 22, 157--165 (1977; Zbl 0369.62013) Full Text: DOI EuDML
Rychlik, Zdzislaw The convergence of Rosen’s series for the sums of a random number of independent random variables. (English) Zbl 0365.60044 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 28, 71-83 (1976). MSC: 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 28, 71--83 (1976; Zbl 0365.60044)
Rychlik, Zdzislaw A central limit theorem for sums of a random number of independent random variables. (English) Zbl 0351.60051 Colloq. Math. 35, 147-158 (1976). MSC: 60G50 60F05 PDFBibTeX XMLCite \textit{Z. Rychlik}, Colloq. Math. 35, 147--158 (1976; Zbl 0351.60051) Full Text: DOI OA License
Rychlik, Z.; Szynal, D. Convergence rates in the central limit theorem for sums of a random number of independent random variables. (English) Zbl 0342.60019 Theory Probab. Appl. 20, 351-362 (1975); reprint from Teor. Veroyatn. Primen. 20, 359-370 (1975). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{D. Szynal}, Theory Probab. Appl. 20, 351--362 (1975; Zbl 0342.60019) Full Text: DOI
Rychlik, Z.; Szynal, D. A functional random-sum central limit theorem. (English) Zbl 0328.60015 Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 23, 1013-1018 (1975). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{D. Szynal}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 23, 1013--1018 (1975; Zbl 0328.60015)
Rychlik, Zdzislaw On some problems concerning of the inflated binomial distribution. (English) Zbl 0306.60010 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 26(1972), 37-61 (1974). MSC: 60E05 62A01 62C10 PDFBibTeX XMLCite \textit{Z. Rychlik}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 26, 37--61 (1974; Zbl 0306.60010)
Rychlik, Z.; Szynal, D. On the convergence rates in the central limit theorem for the sums of a random number of independent identically distributed random variables. (English) Zbl 0288.60020 Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 22, 683-690 (1974). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{D. Szynal}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 22, 683--690 (1974; Zbl 0288.60020)
Rychlik, Z. On some inequalities for the concentration function of the sum of a random number of independent random variables. (English) Zbl 0277.60039 Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 22, 65-70 (1974). MSC: 60G50 60F99 PDFBibTeX XMLCite \textit{Z. Rychlik}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 22, 65--70 (1974; Zbl 0277.60039)
Rychlik, Z.; Szynal, D. On the limit behaviours of the sums of a random number of independent random variables. (English) Zbl 0238.60015 Colloq. Math. 28, 147-159 (1973). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{D. Szynal}, Colloq. Math. 28, 147--159 (1973; Zbl 0238.60015) Full Text: DOI
Rychlik, Z.; Szynal, D. On the limit behaviour of the sums of a random number of independent random variables. (English) Zbl 0242.60014 Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20, 401-406 (1972). MSC: 60F05 60F99 60F15 PDFBibTeX XMLCite \textit{Z. Rychlik} and \textit{D. Szynal}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20, 401--406 (1972; Zbl 0242.60014)