### MeSH Major

- Antibodies, Monoclonal
- Antineoplastic Agents
- Protein Kinase Inhibitors
- Receptor, Epidermal Growth Factor
- Skin Neoplasms

- Antibodies, Monoclonal
- Antineoplastic Agents
- Protein Kinase Inhibitors
- Receptor, Epidermal Growth Factor
- Skin Neoplasms

- Let {vn(θ)} be a sequence of statistics such that when θ =θ0, vn(θ0) {Mathematical expression}Np(0, Σ), where Σ is of rank p and θ εRd. Suppose that under θ =θ0, {Σn} is a sequence of consistent estimators of Σ. Wald (1943) shows that vnT(θ0)Σn-1vn(θ0) {Mathematical expression}x2(p). It often happens that vn(θ0) {Mathematical expression}Np(0, Σ) holds but Σ is singular. Moore (1977) states that under certain assumptions vnT(θ0)Σn-vn(θ0) {Mathematical expression}x2(k), where k = rank (Σ) and Σn- is a generalized inverse of Σn. However, Moore's result as stated is incorrect. It needs the additional assumption that rank (Σn) =k for n sufficiently large. In this article, we show that Moore's result (as corrected) holds under somewhat different, but easier to verify, assumptions. © 1990 Physica-Verlag Ges.m.b.H.

- December 1990

- Metrika Journal

- Academic Article

- 10.1007/BF02613538

- 309

- 315

- 37

- 1

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