Strong convergence for weighted sums of WOD random variables and its application in the EV regression model
Applications of Mathematics (2024)
- Issue: 1, page 93-111
- ISSN: 0862-7940
Access Full Article
topAbstract
topHow to cite
topDing, Liwang, and Jiang, Caoqing. "Strong convergence for weighted sums of WOD random variables and its application in the EV regression model." Applications of Mathematics (2024): 93-111. <http://eudml.org/doc/299201>.
@article{Ding2024,
abstract = {The strong convergence for weighted sums of widely orthant dependent (WOD) random variables is investigated. As an application, we further investigate the strong consistency of the least squares estimator in EV regression model for WOD random variables. A simulation study is carried out to confirm the theoretical results.},
author = {Ding, Liwang, Jiang, Caoqing},
journal = {Applications of Mathematics},
keywords = {errors-in-variables regression model; least squares estimator; widely orthant dependent; strong consistency},
language = {eng},
number = {1},
pages = {93-111},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Strong convergence for weighted sums of WOD random variables and its application in the EV regression model},
url = {http://eudml.org/doc/299201},
year = {2024},
}
TY - JOUR
AU - Ding, Liwang
AU - Jiang, Caoqing
TI - Strong convergence for weighted sums of WOD random variables and its application in the EV regression model
JO - Applications of Mathematics
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 93
EP - 111
AB - The strong convergence for weighted sums of widely orthant dependent (WOD) random variables is investigated. As an application, we further investigate the strong consistency of the least squares estimator in EV regression model for WOD random variables. A simulation study is carried out to confirm the theoretical results.
LA - eng
KW - errors-in-variables regression model; least squares estimator; widely orthant dependent; strong consistency
UR - http://eudml.org/doc/299201
ER -
References
top- Allen, R. G. D., 10.2307/2548931, Economica 6 (1939), 191-201. (1939) DOI10.2307/2548931
- Carroll, R. J., Ruppert, D., Stefanski, L. A., 10.1201/9781420010138, Monographs on Statistics and Applied Probability 63. Chapman & Hall, London (1995). (1995) Zbl0853.62048MR1630517DOI10.1201/9781420010138
- Chen, P., Wen, L., Sung, S. H., 10.1016/j.jspi.2019.06.004, J. Stat. Plann. Inference 205 (2020), 64-73. (2020) Zbl1437.62103MR4011623DOI10.1016/j.jspi.2019.06.004
- Chen, W., Wang, Y., Cheng, D., 10.1007/s10986-016-9301-8, Lith. Math. J. 56 (2016), 16-31. (2016) Zbl1385.60040MR3472103DOI10.1007/s10986-016-9301-8
- Choi, B. D., Sung, S. H., 10.1080/07362998708809124, Stochastic Anal. Appl. 5 (1987), 365-377. (1987) Zbl0633.60049MR0912863DOI10.1080/07362998708809124
- Cui, H., Asymptotic normality of -estimates in the EV model, Syst. Sci. Math. Sci. 10 (1997), 225-236. (1997) Zbl0905.62072MR1469182
- Deaton, A., 10.1016/0304-4076(85)90134-4, J. Econom. 30 (1985), 109-126. (1985) Zbl0584.62193DOI10.1016/0304-4076(85)90134-4
- Deng, X., Tang, X.-F., Wang, S.-J., Wang, X.-J., 10.1007/s11766-018-3423-1, Appl. Math., Ser. B (Engl. Ed.) 33 (2018), 35-47. (2018) Zbl1399.60082MR3779102DOI10.1007/s11766-018-3423-1
- Fazekas, I., Kukush, A. G., 10.1016/S0898-1221(97)00204-6, Comput. Math. Appl. 34 (1997), 23-39. (1997) Zbl0911.62054MR1487730DOI10.1016/S0898-1221(97)00204-6
- Fuller, W. A., 10.1002/9780470316665, Wiley Series in Probability and Mathematical Statistics. John Wiley & Sons, New York (1987). (1987) Zbl0800.62413MR0898653DOI10.1002/9780470316665
- Hu, T., Negatively superadditive dependence of random variables with applications, Chin. J. Appl. Probab. Stat. 16 (2000), 133-144. (2000) Zbl1050.60502MR1812714
- Joag-Dev, K., Proschan, F., 10.1214/aos/1176346079, Ann. Stat. 11 (1983), 286-295. (1983) Zbl0508.62041MR0684886DOI10.1214/aos/1176346079
- Miao, Y., Yang, G., Shen, L., 10.1080/03610920701215266, Commun. Stat., Theory Methods 36 (2007), 2263-2272. (2007) Zbl1183.62039MR2396557DOI10.1080/03610920701215266
- Miao, Y., Zhao, F., Wang, K., Chen, Y., 10.1007/s00362-011-0418-x, Stat. Pap. 54 (2013), 193-206. (2013) Zbl1256.62013MR3016962DOI10.1007/s00362-011-0418-x
- Shen, A., 10.1155/2013/862602, Abstr. Appl. Anal. 2013 (2013), Article ID 862602, 9 pages. (2013) Zbl1470.62056MR3081600DOI10.1155/2013/862602
- Shen, A., Yao, M., Wang, W., Volodin, A., 10.1007/s13398-015-0233-7, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110 (2016), 251-268. (2016) Zbl1334.60040MR3462086DOI10.1007/s13398-015-0233-7
- Sung, S. H., Almost sure convergence for weighted sums of i.i.d. random variables. II, Bull. Korean Math. Soc. 33 (1996), 419-425. (1996) Zbl0865.60021MR1419389
- Teicher, H., 10.1007/BF00532738, Z. Wahrscheinlichkeitstheor. Verw. Geb. 69 (1985), 331-345. (1985) Zbl0548.60028MR0787602DOI10.1007/BF00532738
- Wang, K., Wang, Y., Gao, Q., 10.1007/s11009-011-9226-y, Methodol. Comput. Appl. Probab. 15 (2013), 109-124. (2013) Zbl1263.91027MR3030214DOI10.1007/s11009-011-9226-y
- Wang, X., Wu, Y., Hu, S., 10.1007/s10182-016-0286-8, AStA, Adv. Stat. Anal. 102 (2018), 41-65. (2018) Zbl1421.62023MR3749656DOI10.1007/s10182-016-0286-8
- Wang, X., Xu, C., Hu, T.-C., Volodin, A., Hu, S., 10.1007/s11749-014-0365-7, TEST 23 (2014), 607-629. (2014) Zbl1307.60024MR3252097DOI10.1007/s11749-014-0365-7
- Wang, Y., Cheng, D., 10.1016/j.jmaa.2011.06.010, J. Math. Anal. Appl. 384 (2011), 597-606. (2011) Zbl1230.60095MR2825210DOI10.1016/j.jmaa.2011.06.010
- Wang, Y., Cui, Z., Wang, K., Ma, X., 10.1016/j.jmaa.2012.01.025, J. Math. Anal. Appl. 390 (2012), 208-223. (2012) Zbl1237.91139MR2885767DOI10.1016/j.jmaa.2012.01.025
- Wang, Y., Wang, X., 10.1007/s00362-019-01112-z, Stat. Pap. 62 (2021), 769-793. (2021) Zbl1482.60049MR4232917DOI10.1007/s00362-019-01112-z
- Wu, Q. Y., Probability Limit Theory for Mixing Sequences, Science Press of China, Beijing (2006). (2006)
- Xi, M., Wang, R., Cheng, Z., Wang, X., 10.1007/s00362-018-0996-y, Stat. Pap. 61 (2020), 1663-1684. (2020) Zbl1453.60081MR4127491DOI10.1007/s00362-018-0996-y
- Xu, S., Miao, Y., 10.1080/03610926.2013.841921, Commun. Stat., Theory Methods 43 (2014), 2581-2594. (2014) Zbl1316.60043MR3217835DOI10.1080/03610926.2013.841921
- Yi, Y., Chen, P., Sung, S. H., 10.1186/s13660-020-02311-1, J. Inequal. Appl. 2020 (2020), Article ID 43, 8 pages. (2020) Zbl1503.60040MR4066646DOI10.1186/s13660-020-02311-1
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.