References
- Ahlgren, N., Nyblom, J. (2008). Tests against stationary and explosive alternatives in vector autoregressive models. J. Time Ser. Anal. 29(3):421–443.
- Ai, X., Li, W.V., Liu, Q. (2012). Karhunen–Loeve expansions for the detrended Brownian motion. Stat. Probab. Lett. 82:1235–1241.
- Alexander, D., Mo, M., Stent, A. (2012). Arithmetic Brownian motion and real options. Eur. J. Oper. Res. 219:114–122.
- Barczy, M., Igloi, E. (2011). Karhunen–Loeve expansions of α-Wiener bridges. Cent. Eur. J. Math. 9:65–84.
- Beghin, L., Nikitin, Y. (2005). Orsingher E. Exact small ball constants for some Gaussian processes under the L2-norm. J. Math. Sci. 128(1):2493–2502.
- Dalang, R.C., Walsh, J.B. (1993a). Geography of the level sets of the Brownian sheet. Probab. Theory Related Fields 96:153–176.
- Dalang, R.C., Walsh, J.B. (1993b). The structure of a Brownian bubble. Probab. Theory Related Fields 96:475–501.
- Dalang, R.C., Mountford, T. (1996). Nondifferentiability of curves on the Brownian sheet. Ann. Probab. 24:182–195.
- Dalang, R.C., Mountford, T. (2001). Jordan curves in the level sets of additive Brownian motion. Trans. Amer. Math. Soc. 353:3531–3545.
- Dalang, R.C., Mountford, T. (2003). Non-independence of excursions of the Brownian sheet and of additive Brownian motion. Trans. AMS. 355(3):967–985.
- Deheuvels, P. (2007). Karhunen–Loeve expansion for a mean-centered Brownian bridge. Stat. Probab. Lett. 77:1190–1200.
- Hobijn, B., Franses, P.H., Ooms, M. (2004). Generalization of the KPSS-test for stationarity. Statistica Neerlandica 58(4):483–502.
- Kruse, R. (2011). A new unit root test against ESTAR based on a class of modified statistics. Stat. Pap. 52:71–85.
- Kendall, W.S. (1980). Contours of Brownian processes with several-dimensional times. Z. Wahrsch. Verw. Geb. 52:267–276.
- Khoshnevisan, D., Shi, Z. (1999). Brownian sheet and capacity. Ann. Probab. 27:1135–1159.
- Khoshnevisan, D., Xiao, Y. (2004). Additive levy processes: Capacity and hausdorff dimension. Proc. Inter. Conf. Fractal Geom. Stochastics III., Prog. Probab. 57:151–170.
- Khoshnevisan, D., Xiao, Y. (2009). Harmonic analysis of additive Levy processes. Probab. Theory Related Fields 145:459–515.
- Khoshnevisan, D., Xiao, Y., Zhong, Y. (2003). Measuring the range of an additive Lévy process. Ann. Probab. 31:1097–1141.
- Khoshnevisan, D., Xiao, Y., Zhong, Y. (2003). Local times of additive Lévy processes. Stoch. Proc. Appl. 104:193–216.
- Loubes, J.M., Paindaveine, D. (2011). Local asymptotic normality property for Lacunar Wavelet series multifractal model. ESAIM: Probab. Stat. 15:69–82.
- Liu, V.J. (2013). Karhunen–Loeve expansions for the additive Brownian motion. Stochastic Processes Appl. 123(11):4090–4110.
- Niemann, R. (2011). The impact of tax uncertainty on irreversible investment. Rev. Manage. Sci. 5:1–17.
- Xiao, Z. (2001). Testing the null hypothesis of stationarity against an autoregressive unit root alternative. Journal of Time Series Analysis 22(1):87–105.
- Watson, G.N. (1952). A Treatise on the Theory of Bessel Functions. Cambridge: Cambridge University Press.