Abstract
In this paper we describe the historical development of some parts of semiparametric statistics. The emphasis is on efficient estimation. We understand semiparametric model in the general sense of a model that is neither parametric nor nonparametric. We restrict attention to models with independent and identically distributed observations and to time series.
Key Words:
- Efficiency
- convolution theorem
- Newton-Raphson procedure
- linear constraint
- marginal constraint
- symmetric location model
- copula model
- semiparametric regression
- partly linear regression
- nonparametric regression
- conditional constraint
- moving average
- autoregression
- linear process
- prediction
- quasi-likelihood model
- estimating equation
- local U-statistic