REFERENCES
[1] K.S. Alexander and R. Pyke, A uniform central limit theorem for setindexed partialsum processes with finite variance, The Annals of Probability, 14, 1986, pp. 582–597. [1] K.S. Alexander and R. Pyke, A uniform central limit theorem for setindexed partialsum processes with finite variance, The Annals of Probability, 14, 1986, pp. 582–597.
[2] S.F. Arnold, Asymptotic validity of F tests for odinary linear model and the multiple correlation model, Journal of the American Statistical Association, 75 (372), 1980, pp. 890–894.
[3] S.F. Arnold, The Theory of Linear Models and Multivarite Analysis, John Wiley & Sons, Inc., New York, 1981.
[4] H. Bauer, Measure and Integration Theory, Walter de Gruyter, Berlin, 2001.
[5] P. Billingsley, Convergence of Probability Measures (2nd Edition), John Wiley & Sons, Inc., New York, 1999.
[6] W. Bischoff, A functional central limit theorem for regression models, Ann. Stat. 6, 1998, pp. 1398–1410.
[7] W. Bischoff, The structure of residual partial sums limit processes of linear regression models, Theory of Stochastic Processes, 2, 2002, pp. 23– 28.
[8] W. Bischoff and A. Gegg, The CameronMartin theorem for (p−)Slepian processes, Preprint, Catholic University EichstaettIngolstadt,Germany, 2014.
[9] W. Bischoff and W. Somayasa, The limit of the partial sums process of spatial least squares residuals, J. Multivariate Analysis, 100, 2009, pp. 2167–2177.
[10] P.Gaenssler, On recent development in the theory of setindexed processes (A unified approach to empirical and partialsum processes) in Asymptotic Statistics, Springer, Berlin, 1993.
[11] A. Gegg, Moving Windows zum Testen auf ChangePoints (Sequentielle und beste Tests), Ph.D. Dissertation, Catholic University EichstaettIngolstadt, Germany, 2013.
[12] E.L. Lehmann and J.P. Romano, Testing Statitical Hypotheses, 3rd edn., Springer, New York, 2005.
[13] M. Lifshits, Lectures on Gaussian Processes, Springer Briefs in Mathematics, Springer, Berlin, 2012.
[14] I.B. MacNeill, Properties of partial sums of polynomial regression residuals with applications to test for change of regression at unknown times, Ann. Statist. 6, 1978, pp. 422–433.
[15] I.B. MacNeill, Limit processes for sequences partial sums of regression residuals, Ann. Probab. 6, 1978, pp. 695–698.
[16] I.B. MacNeill and V.K. Jandhyala, Changepoint methods for spatial data, Multivariate Environmental Statistics eds. by G.P. Patil and C.R. Rao, Elsevier Science Publishers B.V., 1993, pp. 298– 306.
[17] W.J. Pyke, A uniform central limit theorem for partial sum processes indexed by sets, Ann.Probab. 79, 1983, pp. 219–240.
[18] W. Somayasa, On setindexed residual partial sum limit process of spatial linear regression models, J. Indones. Math. Soc. 17(2), 2011, pp. 73–83.
[19] W. Somayasa, The partial sums of the least squares residuals of spatial observations sampled according to a probability measure”, J. Indones. Math. Soc. 19(1), 2013, pp. 23–40.
[20] W. Somayasa, Asymptotic statistical model building based on the partial sums of the residuals of the observations with an application to mining industry, Proceedings of the 2 nd International Conference on Mathematical, Computational and Statistical Sciences (MCSS), 2014, pp. 136–145.
[21] W. Somayasa, Ruslan, E. Cahyono, L.O. Engkoimani, Cheking adequateness of spatial regressions using setindexed partial sums technique, Fareast Journal of Mathematical Sciences, 96(8), 2015, pp. 933–966.
[22] M. Tahir, Prediction of the amount of nickel deposit based on the results of drilling bores on several points (case study: south mining region of PT. Aneka Tambang Tbk., Pomalaa, Southeast Sulawesi), research report, Halu Oleo University, Kendari, 2010.
[23] L. Xie and I.B. MacNeill, Spatial residual processes and boundary detection, South African Statist. J. 4, 2006, pp. 33–53.
