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Anita Dobek, Krzysztof Moliński and Ewa Skotarczak

References Chandra T.K., Joshi S.N. (1983): Comparison of likelihood ratio, Rao’s and Wald’s tests and a conjecture of C.R. Rao. Sankhya A, 45: 226-246. Fox J. (1997): Applied regression analysis, linear models, and related methods. Thousand Oaks, CA, US: Sage Publications, Inc. Li B. (2001): Sensitivity of Rao’s score test, the Wald test and the likelihood ratio test to nuisance parameters. J. Statistical Planning and Inference 97: 57-66. Madansky A. (1989): A comparison of the Likelihood Ratio

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Chihiro Hirotsu and Harukazu Tsuruta

References Hirotsu, C. (1982). Use of cumulative efficient scores for testing ordered alternatives in discrete models. Biometrika 69:567-577. Hirotsu, C. (2013). Theory and its application of the cumulative, two-way cumulative and doubly cumulative sum statistics. Jap. J. Appl. Statist. 42:121-143. (In Japanese) Hirotsu, C. and Marumo, K. (2002). Change point analysis as a method for isotonic inference. Scand. J. Statist. 29:125-138. Hirotsu, C., Yamamoto, S. and Tsuruta, H. (2016). A unifying