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148 KKU Science Journal Volume 39 Number 1 Research ¡Ÿ≈π‘∏‘ ∂“∫—π∑’Ë¥‘π. (2545). °“√∂◊Õ§√Õß·≈–„â ª√–‚¬πå∑’Ë¥‘π. °√ÿß‡∑æœ: ”π—°ß“π°Õß∑ÿπ π—∫ πÿπß“π«‘®—¬. Àπ—ß ◊Õæ‘¡æåºŸâ®—¥°“√ÕÕπ‰≈πå. (2552, æƒ…¿“§¡). ç∑√—æ¬“°√œ∫ÿ√’√—¡¬å¢Ÿà¥”‡π‘π§¥’“«∫â“π∫ÿ°¬÷¥ ªÉ“¥ß„À≠àé (√–∫∫ÕÕπ‰≈πå) ·À≈àß∑’Ë¡“: (http://www.manager.co.th/Local/ViewNews. aspx?NewsID=9520000058498. Àπ—ß ◊Õæ‘¡æå‡¥≈‘π‘« å. (2551, ∏—π«“§¡). çª.ª.ª. æ∫ ∫ÿ°√ÿ°∑’Ë¥‘π “∏“√≥–∫ÿ√’√—¡¬å Õ“®¡’¡Ÿ≈é (√–∫∫ ÕÕπ‰≈πå) ·À≈àß∑’Ë¡“: (http://www.giggog. com/politic/cat3/news6131/. Peluso, N. L. (1992). Rich Forest, Poor People: Resource Control and Resistance in Java. Berkeley: University of California Press. Vandergeest, P. and Nancy, L. P. (1995). çTerritorialization and State Power in Thailandé. Theory and Society. 24: 385- 426. ❏❏❏❏❏
«.«‘∑¬. ¡¢. 39(1) 149-158 (2553) KKU Sci. J.39(1) 149-158 (2010) µ—«ª√–¡“≥Õ—µ√“ à«πµ—«„À¡à¢Õß§à“‡©≈’Ë¬ª√–“°√ „π°“√ ÿà¡µ—«Õ¬à“ß·∫∫Õ¬à“ßßà“¬ A new Ratio Estimator of a Population in Random Sampling ®—π∑√“ ª√–‡ √‘∞ °ÿ≈ 1* ·≈– π‘¿“¥“ æ“¿—°¥’ 1 ∫∑§—¥¬àÕ °“√«‘®—¬§√—Èßπ’È ¡’«—µ∂ÿª√– ß§å‡æ◊ËÕπ”‡ πÕµ—«ª√–¡“≥Õ—µ√“ à«πµ—«„À¡à ”À√—∫ª√–¡“≥§à“‡©≈’Ë¬ ª√–“°√ ´÷Ëßæ—≤π“¡“®“°µ—«ª√–¡“≥¢Õß Mohanty and Sahoo (1995); Bedi (1996) ·≈– Kadilar and Cingi (2006) æ√âÕ¡∑—ÈßÀ“§«“¡§≈“¥‡§≈◊ËÕπ°”≈—ß Õß‡©≈’Ë¬ (Mean Square Error: MSE) ¢Õßµ—«ª√–¡“≥‚¥¬„â Õπÿ°√¡‡∑¬å‡≈Õ√å ·≈–∑”°“√‡ª√’¬∫‡∑’¬∫ MSE ¢Õßµ—«ª√–¡“≥∑’Ëπ”‡ πÕ°—∫µ—«ª√–¡“≥Õ—µ√“ à«π¢Õß§à“‡©≈’Ë¬ ª√–“°√·∫∫¥—Èß‡¥‘¡·≈–µ—«ª√–¡“≥¢Õß Mohanty and Sahoo µ—«ª√–¡“≥¢Õß Bedi ·≈–µ—«ª√–¡“≥¢Õß Kadilar and Cingi º≈°“√«‘®—¬æ∫«à“ µ—«ª√–¡“≥∑’Ëπ”‡ πÕ¡’ª√– ‘∑∏‘¿“æ¥’°«à“µ—«ª√–¡“≥¢Õß§à“‡©≈’Ë¬ª√–“°√ ·∫∫¥—Èß‡¥‘¡ µ—«ª√–¡“≥¢Õß Mohanty and Sahoo µ—«ª√–¡“≥¢Õß Bedi ·≈– Kadilar and Cingi „π∫“ß‡ß◊ËÕπ‰¢ ´÷Ëßº≈°“√«‘®—¬§√—Èßπ’È¡’§«“¡ Õ¥§≈âÕß°—∫°“√§”π«≥‡‘ßµ—«‡≈¢ Abstract The objective of this research is to propose a new ratio estimator for the population mean which is developed from the study by Mohanty and Sahoo (1995) Bedi (1996) and Kadilar and Cingi (2006) The mean square error (MSE) was obtained by utilizing Taylor series method and was compared with the MSE of the traditional ratio estimator Mohanty and Sahooûs estimator Bediûs estimator and Kadilar and Cingiûs estimator in some conditions. This result is satisfied with the numerical study. §” ”§—≠ : µ—«ª√–¡“≥Õ—µ√“ à«π §à“‡©≈’Ë¬ª√–“°√ °“√ ÿ à¡µ—«Õ¬à“ß·∫∫Õ¬à“ßßà“¬ µ—«·ª√à«¬ Keywords : Rastioestimator, Population, Sampling random sampling, Auxiliary Variable 1 “¢“ ∂‘µ‘ª√–¬ÿ°µå ¡À“«‘∑¬“≈—¬‡∑§‚π‚≈¬’√“¡ß§≈Õ’ “π«‘∑¬“‡¢µ¢Õπ·°àπ Õ.‡¡◊Õß ®.¢Õπ·°àπ 40000
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