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We study the one-sided testing problem for the exponential distribution via the empirical Bayes (EB) approach. Under a weighted linear loss function, a Bayes test is established. Using the past samples, we construct an EB test and exhibit its optimal rate of convergence. When the past samples are not directly observable, we work out an EB test by using the deconvolution kernel method and obtain its asymptotic optimality.
Lichun Wang. "Bayes and empirical bayes tests for the life parameter." Applicationes Mathematicae 32.2 (2005): 133-143. <http://eudml.org/doc/278950>.
@article{LichunWang2005, abstract = {We study the one-sided testing problem for the exponential distribution via the empirical Bayes (EB) approach. Under a weighted linear loss function, a Bayes test is established. Using the past samples, we construct an EB test and exhibit its optimal rate of convergence. When the past samples are not directly observable, we work out an EB test by using the deconvolution kernel method and obtain its asymptotic optimality.}, author = {Lichun Wang}, journal = {Applicationes Mathematicae}, keywords = {empirical Bayes; asymptotic optimality; rate of convergence; exponential distribution}, language = {eng}, number = {2}, pages = {133-143}, title = {Bayes and empirical bayes tests for the life parameter}, url = {http://eudml.org/doc/278950}, volume = {32}, year = {2005}, }
TY - JOUR AU - Lichun Wang TI - Bayes and empirical bayes tests for the life parameter JO - Applicationes Mathematicae PY - 2005 VL - 32 IS - 2 SP - 133 EP - 143 AB - We study the one-sided testing problem for the exponential distribution via the empirical Bayes (EB) approach. Under a weighted linear loss function, a Bayes test is established. Using the past samples, we construct an EB test and exhibit its optimal rate of convergence. When the past samples are not directly observable, we work out an EB test by using the deconvolution kernel method and obtain its asymptotic optimality. LA - eng KW - empirical Bayes; asymptotic optimality; rate of convergence; exponential distribution UR - http://eudml.org/doc/278950 ER -