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Method: Least Squares Date: 12/06/06 Time: 07:21 Sample(adjusted): 1981 2005.. Included observations: 25 after

In this paper we derive the limit process of the sequence of set-indexed least-squares residual partial sum processes of observations obtained form a spatial linear regression

Key words: bifurcating autoregressive process ; tree-indexed times series; martingales ; least squares estimation ; almost sure convergence ; quadratic strong law; central

Method: Pooled Least Squares Date: 06/22/16 Time: 12:29 Sample: 2005Q3 2014Q4 Included observations: 38 Cross-sections included: 5?. Total pool (unbalanced)

Method: Pooled Least Squares Date: 09/19/20 Time: 09:50 Sample: 2013 2018 Included observations: 6 Cross-sections included: 26 Total pool (balanced) observations: 156.

Dependent Variable: MACR1 Method: Least Squares Date: 05/21/08 Time: 13:31 Sample: 1 77.. Included

Population mean unknown Data observations known µ Sample mean known = x µˆ Probability density function unknown Point Estimates of Parameters A point estimate of unknown parameter

To determine what minimum sample is needed in the study if size known population, researchers used the Slovin formula Umar, 2010, as follows: N n = 1 + Ne ² Information: n =