PROBABILITY THEORY

pjpñh fl£r¡ (PROBABILITY THEORY ) -

­েkph fl£r¡ h¡ fkÑ¡­hr­েZl ­েr­œ ­েL¡e ­েL¡e OVe¡ OV­েa f¡­েl Abh¡ ­েL¡e ­েL¡e gm f¡Ju¡ pñh a¡­cl pð­å Øfø d¡lZ¡ b¡­েL ¢L¿¹¥ HL¢V ¢e¢cÑø fl£r¡ h¡ fkÑ­hr­েZl ­েr­œ ­েL¡e OVe¡ OV­েh h¡ ­েL¡e gm f¡Ju¡ k¡­েh a¡ ¢e¢ÕQa L­েl hm¡ k¡u e¡, a¡­েcl pjpñh fl£r¡ (RANDOM EXPERIMENT ) h¡ pjpñh fkÑ­hrZ (RANDOM OBSERVATION) h­েmz

·      pñhe¡ aেšÄ (PROBABILITY THEORY ) h¡ pñhe¡ pÇf¢LÑa ­েk ­েL¡­েe¡ fËেnÀ phÑc¡C pjpñh fl£r¡l p­ে‰ pw¢nÔøz

·      pjpñh fl£r¡­েL p¡d¡lea Cwl¡¢S hZÑj¡m¡l h­েs¡ ql­েgl Arl E ¢c­েu fËL¡n Ll¡ quz

Ec¡qlZ -

1. ­েT¡yLn§eÉ (UNBIASED) HL¢V j¤â¡­েL k­েbµRi¡­েh Jf­েll ¢c­েL R¥­েs ­েcJu¡ qmz HC fl£r¡ h¡ fkÑ¡­hr­েZl c¤¢V gm q­েa f¡­েlz kb¡ - ­েqX Abh¡ ­েVm; ¢L¿¹¥ fl£r¡l fl ­েL¡e gm¢V f¡Ju¡ k¡­েh a¡ B­েN ­েb­েL ¢e¢ÕQa L­েl hm¡ pñh euz p¤¤al¡w H¢V HL¢V pjpñh fl£r¡ h¡ fkÑ¡­hrZz

2. ­েT¡yLn§eÉ ( UNBIASED) HL¢V m¤­X¡l R‚¡­েL k­েbµRi¡­h i¨¢j­েa N¢sেu ­েcJu¡ qmz HC fl£r¡ h¡ fkÑ¡­hr­েZl Ru¢V gm q­েa f¡­েlz kb¡ - HL, c¤C, ¢ae, Q¡l, fy¡Q Hhw Ru; ¢L¿¹¥ fl£r¡l fেl ­েL¡e gm¢V f¡Ju¡ k¡েh a¡ B­েN ­েb­েL ¢e¢ÕQa L­েl hm¡ pñh euz p¤¤al¡w H¢V HL¢V pjpñh fl£r¡ h¡ fkÑ¡­hrZz

HL¢V fl£r¡­েL k­bেµR h¡ pjpñh fl£r¡ ( RANDOM EXPERIMENT ) hm¡ q­েh k¢c -

1. fl£r¡l pLm ­েj±¢mL J plm gm…¢m ( OUTCOMES) Bj¡­েcl S¡e¡ b¡­েLz

2. fl£r¡l gm L£ q­েh a¡l f§hÑ¡i¡o k¢c p¢WL i¡­েh hm¡ pñh e¡ qu Hhw gm¢V k¢c ¢e¢ÕQai¡­েh ­েj±¢mL J plm gm…¢ml j­েdÉ ­েL¡­েe¡ HL¢V quz

3. fl£r¡¢V HLC dl­েel n­েaÑl Ad£­e kah¡l M¤¢n pÇf¡ce Ll¡ k¡uz

4. HLC dl­েel n­েaÑl Ad£­েe pÇf¡¢ca ¢h¢iæ fl£r¡l gm k¢c ¢iæ ¢iæ qh¡l p¤¤­েk¡N b¡­েLz