V. E. Akman and A. E. Raftery, Asymptotic inference for a changepoint Poisson process, pp.1583-1590, 1986.

C. Aubry and A. S. Dabye, Asymptotic normality of the MDE for a Poisson process with a discontinuous intensity function, J.Statist. Plann. Inference, vol.991, pp.3-23, 2001.

I. Bar-david, Communication under the Poisson regime, IEEE Transactions on Information Theory, vol.15, issue.1, pp.31-37, 1969.
DOI : 10.1109/TIT.1969.1054238

B. David and I. , Communication under Poisson regime, IEEE Trans. Inform. Theory, IT-15, issue.1, pp.31-37, 1969.

P. T. Bickel and M. J. Wichura, Convergence Criteria for Multiparameter Stochastic Processes and Some Applications, The Annals of Mathematical Statistics, vol.42, issue.5, pp.1656-1670, 1971.
DOI : 10.1214/aoms/1177693164

M. Brown, Statistical analysis of nonhomogeneous Poisson processes, Stochastic Process, 1927.

M. Brown, Discrimination of Poisson Processes, The Annals of Mathematical Statistics, vol.42, issue.2, pp.773-776, 1971.
DOI : 10.1214/aoms/1177693429

H. Chernov and H. Rubin, The estimation of the location of a discontinuity in density, Proc.Third Berkeley Symp, pp.19-38, 1956.

. S. Chib, Estimation and comparison of multiple change-point models, Journal of Econometrics, vol.86, issue.2, pp.221-241, 1997.
DOI : 10.1016/S0304-4076(97)00115-2

A. S. Dabye, Estimation bay??sienne pour un processus de Poisson d'intensit?? discontinue, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.328, issue.5, pp.427-430, 1999.
DOI : 10.1016/S0764-4442(99)80184-0

A. S. Dabye, On the Cram??r???von Mises test with parametric hypothesis for poisson processes, Statistical Inference for Stochastic Processes, vol.22, issue.1, pp.1-13, 2013.
DOI : 10.1007/s11203-013-9077-y

A. S. Dabye, Estimation par la m??thode du maximum de vraisemblance pour un processus de Poisson d'intensit?? discontinue, Comptes Rendue de l'Accadémie des Sciences, Séries 1, pp.329-335, 1999.
DOI : 10.1016/S0764-4442(00)88577-8

A. S. Dabye, A. Diakhaby, and F. N. Diop, On the Goodness-of-fit tests for Poisson processes with a discontinuous function intensity, Far East J. Theor. Stat, vol.37, issue.1, pp.23-43, 2011.

S. Dachian, Estimation of cusp location by Poisson observations, Statistical Inference for Stochastic Processes, vol.6, issue.1, pp.1-14, 2003.
DOI : 10.1023/A:1022618514836
URL : https://hal.archives-ouvertes.fr/hal-00469714

S. Dachian, On limiting likelihood ratio processes of some change-point type statistical models, Journal of Statistical Planning and Inference, vol.140, issue.9, pp.2682-2692, 2010.
DOI : 10.1016/j.jspi.2010.03.030
URL : https://hal.archives-ouvertes.fr/hal-00401299

S. Dachian, Estimation of the location of a 0-type or ???-type singularity by Poisson observations, Statistics, vol.21, issue.5, pp.509-523, 2003.
DOI : 10.1007/978-1-4612-3166-0
URL : https://hal.archives-ouvertes.fr/hal-00110860

S. Dachian and Y. A. Kutoyants, Hypotheses Testing: Poisson Versus Self-exciting, Scandinavian Journal of Statistics, vol.9, issue.2, pp.391-408, 2006.
DOI : 10.2307/1426698
URL : https://hal.archives-ouvertes.fr/hal-00469707

S. Dachian and Y. A. Kutoyants, On the goodness-of-fit testing for some continuous time processes, in Statistical Models and Methods for Biomedical and Technical Systems, pp.395-413, 2007.

S. Dachian and Y. A. Kutoyants, On cusp estimation of ergodic diffusion process, Journal of Statistical Planning and Inference, vol.117, issue.1, pp.153-166, 2003.
DOI : 10.1016/S0378-3758(02)00365-8
URL : https://hal.archives-ouvertes.fr/hal-00469712

D. Agostino, R. B. Stephens, and M. A. , Goodness of fit techniques, 1986.

D. A. Darling, The Kolmogorov-Smirnov, Cramer-von Mises Tests, The Annals of Mathematical Statistics, vol.28, issue.4, pp.823-838, 1957.
DOI : 10.1214/aoms/1177706788

D. A. Darling, The Cramer-Smirnov Test in the Parametric Case, The Annals of Mathematical Statistics, vol.26, issue.1, pp.1-20, 1958.
DOI : 10.1214/aoms/1177728589

R. Davies, Testing the Hypothesis That a Point Process Is Poisson, Advances in Applied Probability, vol.9, issue.4, pp.724-746, 1977.
DOI : 10.2307/1426698

J. Durbin, Distribution Theory for Tests Based on the Sample Distribution Function, 1973.

F. N. Diop, Tests d'ajustement d'hypothèses composites pour les processus de Poisson non Homogènes, Thèse de doctorat, 2010.

M. S. Ermakov, Asymptotic behavior of statistical estimates of parameters of multidimensional discontinuous density, Zap. LOMI, vol.74, pp.83-107, 1977.

L. I. Gal-'tchouk and B. L. Rozovskii, The disorder problem for a Poisson process, Theor. Probab. Appl, vol.16, pp.712-716, 1971.

G. Grégoire and Z. Hamrouni, Change Point Estimation by Local Linear Smoothing, Journal of Multivariate Analysis, vol.83, issue.1, pp.56-83, 2001.
DOI : 10.1006/jmva.2001.2038

P. E. Greenwood and M. Nikulin, A Guide of Chi-Squared Testing, 1996.

E. Hoversten and D. Snyder, On the performance of pulse position modulation in direct detection optical communication systems; mean square error and threshold, proceeding of the Fith Berkeley Symposium on mathematical statistics and probability, pp.221-233, 1967.

Y. I. Ingster, Asymptotically minimax hypothesis testing for nonparametric alternatives .I,II,III, Math. Methods Statist, vol.2, pp.35-114, 1993.

Y. I. Ingster and Y. A. Kutoyants, Nonparametric hypothesis testing for intensity of the poisson process, Mathematical Methods of Statistics, vol.16, issue.3, pp.217-245, 2007.
DOI : 10.3103/S1066530707030039

Y. I. Ingster and I. A. Suslina, Nonparametric Goodness-of-Fit Testing Under Gaussian Models, 2003.
DOI : 10.1007/978-0-387-21580-8

E. Khmaladze, Martingale approach in the theory of goodness-of-fit tests. Theory Probab, Appl, vol.26, issue.2, pp.240-257, 1981.

R. Koenker and Z. Xiao, Inference on the Quantile Regression Process, Econometrica, vol.70, issue.4, pp.1583-1612, 2002.
DOI : 10.1111/1468-0262.00342

Y. A. Kutoyants, Asymptotically optimal algorithm of detecting Poisson signals, Radiotechnika Elektronika, vol.13, pp.266-271, 1977.

Y. A. Kutoyants, Parameter estimation of the intensity of an inhomogeneous Poisson process, Problem of control and information theory, pp.137-149, 1979.

Y. A. Kutoyants, Parameter Estimation for Stochastic Processes, 1984.

Y. A. Kutoyants, Statistical Inference for Spatial Poisson Processes, Lecture Notes in Statistics, vol.134, 1998.
DOI : 10.1007/978-1-4612-1706-0

Y. A. Kutoyants, On asymptotic distribution of parameter free tests for ergodic diffusion processes, Statistical Inference for Stochastic Processes, vol.61, issue.3, pp.139-161, 2014.
DOI : 10.1007/s11203-014-9097-2

C. Leger and D. B. Wolfson, Hypothesis testing for a non-homogeneous poisson process, Stochastic Models, vol.3, issue.3, pp.439-455, 1987.
DOI : 10.1080/15326348708807065

E. L. Lehmann and J. P. Romano, Testing Statistical Hypotheses, 2005.

L. Mandel, Fluctuation of photon beans and their correlations, Proc.Phys.Soc 73, pp.1037-1048, 1958.

G. Martynov, Note on the Cramér-von Mises test with estimated parameters, Publ. Math. Debrecen, vol.763, pp.341-346, 2010.

G. Neuhaus, On Weak Convergence of Stochastic Processes with Multidimensional Time Parameter, The Annals of Mathematical Statistics, vol.42, issue.4, pp.1285-1295, 1971.
DOI : 10.1214/aoms/1177693241

I. Negri and L. Zhou, On goodness-of-fir testing for ergodic diffusion process with shift parameter, Stat. Inference Stoch. Process, vol.11, issue.1, pp.51-73, 2014.

A. Novikov and N. Kordzahiya, Pitman estimators: an asymptotic variance revisited, Theory Probab, Appl, vol.573, pp.0-521, 2013.

G. C. Pflug, The limiting log-likelihood process for discontinuous density families, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.60, issue.1, pp.15-35, 1983.
DOI : 10.1007/BF00532591

E. J. Pitman, Lecture notes on nonparametric statistical inference. Lectures given for the University of North Carolina, 1948.

H. Rubin, The estimation of the discontinuities in multivariate densities , and related problems in stochastic process, Proc.Fourth Berkeley Symp, pp.563-574, 1961.

H. Strasser, Local asymptotic minimax properties of Pitman estimates, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.11, issue.2, pp.223-247, 1982.
DOI : 10.1007/BF00531826

L. Weiss, Testing fit with nuisance location and scale parameters, Naval Research Logistics Quarterly, vol.2, issue.1, pp.55-63, 1975.
DOI : 10.1002/nav.3800220106