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Does the Entry Mode of Foreign Banks Matter for Bank ... - EconomiX

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Hypo<strong>the</strong>sis 4: The nature <strong>of</strong> <strong>the</strong> inherited problems faced by M&As as captured by <strong>the</strong>age effect, <strong>the</strong> structure <strong>of</strong> activities, bank size and market share may be <strong>the</strong> factorsaffecting <strong>the</strong> differential per<strong>for</strong>mance between M&As and o<strong>the</strong>r banks.4. Estimation Methodology4.1 Efficiency Estimation Method: Stochastic Frontier AnalysisA number <strong>of</strong> techniques are available <strong>for</strong> <strong>the</strong> estimation <strong>of</strong> efficiency, which canbe categorized into parametric and non-parametric ones. Weill (2003) gives a concisediscussion on <strong>the</strong> advantages and disadvantages <strong>of</strong> each technique, and on <strong>the</strong> choice <strong>of</strong>an appropriate technique. Here in this paper, we choose a popular parametric technique,i.e. Stochastic Frontier Analysis (hence<strong>for</strong>th SFA).Aigner, Lovell and Schmidt (1977) and Meeusen and Van Den Broeck (1977)independently proposed <strong>the</strong> stochastic frontier production model <strong>of</strong> <strong>the</strong> <strong>for</strong>mln q = x β + v − u i = 1, … Ii'iiiwhere q i represents <strong>the</strong> output <strong>of</strong> <strong>the</strong> i-th firm; x i is a K x 1 vector containing <strong>the</strong>logarithms <strong>of</strong> inputs; β is a vector <strong>of</strong> unknown parameters; v i is a symmetric random erroraccounting <strong>for</strong> statistical noise; and u i is a non-negative random variable associated withtechnical efficiency.Explicit assumptions about <strong>the</strong> distribution <strong>of</strong> <strong>the</strong> measurement errors v i and <strong>the</strong>X-inefficiency terms u i allow <strong>the</strong> frontiers to be estimated using <strong>the</strong> method <strong>of</strong> maximumlikelihood. The measurement errors are typically assumed to be random errorsindependently and normally distributed with mean zero and constant variance. These are<strong>the</strong>re<strong>for</strong>e <strong>of</strong>ten referred to as <strong>the</strong> “two-sided” error terms as <strong>the</strong>y are symmetricallydistributed around <strong>the</strong> “true” frontier. By contrast <strong>the</strong> inefficiency terms are assumed tohave an independent distribution which is truncated below by <strong>the</strong> frontier itself. For thisreason, <strong>the</strong>se inefficiency terms are <strong>of</strong>ten referred to as <strong>the</strong> “one-sided” error terms. Anumber <strong>of</strong> distributions have been suggested <strong>for</strong> <strong>the</strong>m: half normal, truncated normal,exponential, and gamma.4.2 Accounting <strong>for</strong> Environmental Variables-19-

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