Robust response transformations based on optimal prediction

Nonlinear regression problems can often be reduced to linearity by transforming the response variable (e.g., using the Box-Cox family of transformations). The classic estimates of the parameter defining the transformation as well as of the regression coefficients are based on the maximum likelihood criterion, assuming homoscedastic normal errors for the transformed response. These estimates are nonrobust in the presence of outliers and can be inconsistent when the errors are nonnormal or heteroscedastic. This article proposes new robust estimates that are consistent and asymptotically normal for any unimodal and homoscedastic error distribution. For this purpose, a robust version of conditional expectation is introduced for which the prediction mean squared error is replaced with an M scale. This concept is then used to develop a nonparametric criterion to estimate the transformation parameter as well as the regression coefficients. A finite sample estimate of this criterion based on a robust version of smearing is also proposed. Monte Carlo experiments show that the new estimates compare favorably with respect to the available competitors.

Société démocratique du 5e arrondissement de Paris. Déclaration de principes adoptée à l'unanimité, dans la séance du 6 mars 1848. - Règlement du Comité démocratique... (Signé : le président, Labelonye, etc.)

Comprend : République française. Liberté, Egalité, Fraternité

Hki 5/7 1945

Kirje 5.7.1945

Case study of intracerebral plasmacytoma as an initial presentation of multiple myeloma.

Cerebral involvement is an uncommon complication of multiple myeloma. We report on a 64-year-old man hospitalized for a partial seizure. MRI showed two intracerebral lesions, which proved to be plasmacytomas. After complete staging, we retained the diagnosis of immunoglobulin G lambda-type multiple myeloma with CNS involvement. Cytogenetic analysis of plasma cells detected a deletion in the p53 gene at 17p13.1. Despite cranial radiotherapy and systemic chemotherapy, the patient's disease progressed rapidly and he died five months after diagnosis. What makes this case unusual is that overt multiple myeloma had been absent before cerebral involvement was discovered. It confirms the extremely poor prognosis of patients with CNS myeloma even in the presence of aggressive treatment. Cytogenetic abnormalities could be a marker of chromosomal and genetic instability, conferring to multiple myeloma a more aggressive profile.

Hallituksen vastaus eduskunnassa 21.2.1939

Puhe

Hki 3/7 1945

Kirje 3.7.1945

Market institutions and judicial rulemaking

Assuming that the degree of discretion granted to judges was the main distinguishing feature between common and civil law until the 19th century, we argue that constraining judicial discretion was instrumental in protecting freedom of contract and developing the market order in civil law. We test this hypothesis by analyzing the history of Western law. In England, a unique institutional balance between the Crown and the Parliament guaranteed private property and prompted the gradual evolution towards a legal framework that facilitated market relationships, a process that was supported by the English judiciary. On the Continent, however, legal constraints on the market were suppressed in a top-down fashion by the founders of the liberal state, often against the will of the incumbent judiciary. Constraining judicial discretion there was essential for enforcing freedom of contract and establishing the legal order of the market economy. In line with this evidence, our selection hypothesis casts doubts on the normative interpretation of empirical results that proclaim the superiority of one legal system over another, disregarding the local conditions and institutional interdependencies on which each legal system was grounded.

Puheenvuoro eduskunnassa 28.4.1939

Puhe

Nuorimies Urho Kekkonen 29/1 1962

Kirje 29.1.1962