We propose two estimators of a unimodal or monotone spectral density, that are based on the periodogram. These are the isotonic regression of the periodogram and the isotonic regression of the log-periodogram. We derive pointwise limit distribution results for the proposed estimators for short memory linear processes and long memory Gaussian processes and also that the estimators are rate optimal.

BACKGROUND Meta-analysis is very useful to summarize the effect of a treatment or a risk factor for a given disease. Often studies report results based on log-transformed variables in order to achieve the principal assumptions of a linear regression model. If this is the case for some, but not all studies, the effects need to be homogenized. METHODS We derived a set of formulae to transform a...

klinkenberg permeability is an important parameter in tight gas reservoirs. there are conventional methods for determining it, but these methods depend on core permeability. cores are few in number, but well logs are usually accessible for all wells and provide continuous information. in this regard, regression methods have been used to achieve reliable relations between log readings and klinke...

1 This paper presents an empirical comparison of the following approaches to estimate annual 2 mileage budgets for multiple discrete-continuous extreme value (MDCEV) models of household 3 vehicle ownership and utilization: (1) The log-linear regression approach to model observed total 4 annual household vehicle miles traveled (AH-VMT), (2) The stochastic frontier regression 5 approach to model ...