Monday, September 3, 2012

Time Series Analysis


''wemwgj­vwni ingvwbi iwng''
knx` ¯§„wZ wWMÖx K‡jR
dwKinvU , ev‡MinvU
cwimsL¨vb(1g cÎ)
Aa¨vq 10
Kvjxb mvwi we‡k­lb
Time Series Analysis
wek¦vm Cgvb Avjx
‡gvevt 01714-847436
cÖfvlK (cwimsL¨vb)
knx` ¯§„wZ wWMÖx gnvwe`¨vjq
cix¶K gva¨wgK I D”P gva¨wgK wk¶v‡evW©, h‡kvi

cÖkœ t 1 Kvjxb mvwi wK ? Gi Dcv`vbmg~n Av‡jvPbv Ki|
    A_ev, Kvjxb mvwi ej‡Z wK eyS ? GKwU Kvjxbmvwii wewfbœ Dcv`vb¸‡jv eb©bv Ki|
DËi tÑ Kvjxb mvwitÑ mg‡qi mv‡_ cwieZ©bkxj †Kvb Pj‡Ki wbw`©ó mgq Aš—i Aš—i cÖvß gvbmg~n‡K Zv‡`i NUvi mgq Abymv‡i wj‡L †h mvibx ev Z_¨mvwi cvIqv hvq Zv‡K Kvjxb mvwi e‡j|
       D`vnib¯^iƒc wewfbœ erm‡i evsjv‡`‡ki †jvKmsL¨v †gvU Drcv`b, Avq-e¨q, Avg`vwb-ißvwb BZ¨vw`|
Kvjxb mvwii Dcv`vb tÑ Kvjxb mvwii Pj‡Ki gvbmg~n wewfbœ Kvib Øviv cÖfvweZ n‡q _v‡K, hv‡`i‡K Kvjxbmvwii Dcv`vb ejv nq| GB Dcv`vb ¸‡jv‡K cÖavbZ: Pvifv‡M fvM Kiv nq|
wb‡b¥ Kvjxb mvwii Dcv`vb¸‡jv Av‡jvPbv Kiv njtÑ
1.      `xN©Kvjxb cÖebZv ev mvavib aviv tÑ mg‡qi m‡½ A‡bK Pj‡Ki gv‡bi e„w× , n«vm ev w¯’wZkxjZvi cÖebZv j¶¨Kiv hvq| †hgbÑ evsjv‡`‡ki †jvKmsL¨v cÖwZeQi e„w× cv‡”Q| A_©vr Bnvi cÖebZv DaŸ©gyLx| wKš‘ evsjv‡`‡ki †jvKmsL¨v e„w×i nvi, g„Zy¨i nvi cÖwZeQi K‡g hv‡”Q| Bnv‡`i cÖebZv wbb¥gyLx| Avevi MZ K‡qK eQi hveZ evsjv‡`‡ki †mvbvi `vg †gvUvgywU w¯’i| |A_©vr evsjv‡`‡ki †mvbvi `v‡gi w¯’wZkxjZvi cÖebZv j¶¨ Kiv hvq| Kvjxb mvwi Dcv‡Ëi Giƒc e„w×, n«vm ev w¯’wZkxjZvi cÖebZv‡K `xN©Kvjxb cÖebZv ev mvavib aviv e‡j| Bnv‡K Τ Øviv cÖKvk Kiv nq|
2.      FZzMZ †f` tÑ FZz cwieZ©‡bi mv‡_ mv‡_ Kvjxbmvwii g‡a¨ †h cwieZ©b †`Lv hvq Zv‡K FZzMZ †f` e‡j| Bnv‡K Ѕ Øviv cÖKvk Kiv nq|G ai‡bi cwieZ©‡bi ch©vq  Kvj mvavibZ : GK ermi| wKš‘ G cwieZ©‡bi ch©vq mvßvwnK, gvwmK, ˆÎgvwmK ev lbœvwmK I n‡Z cv‡i| GQvov G ai‡bi cwieZ©b GK ermi mgqKv‡ji g‡a¨ †h‡Kvb mgq GK ev GKvwaK evi NU‡Z cv‡i Ges †Kvb †Kvb †¶‡Î cÖwZermi GKB mgq ev Gmg‡qi KvQvKvwQ n‡Z cv‡i| FZzMZ †f` cÖavbZ : `yB Kvi‡b n‡q _v‡K| h_vÑ 
1)    Rjevqy I AvenvIqvi Kvi‡b 
2)    mvgvwRK AvPvi ev ixwZbxwZ|
         D`vnib¯^iƒc ejv hvq, el©vKv‡j QvZv I ivev‡ii RyZvi g~j¨ e„w× cvq| kxZKv‡j ckgx Kvc‡oi g~j¨ e„w× cvq Ges kvK-mwâi g~j¨ n«vm cvq| Avevi Mi‡gi w`‡b ˆe`y¨wZK cvLv, †iwd«Rv‡iUi , kxZZvc wbqš¿b hš¿ BZ¨vw`i g~j¨ kxZKvj A‡c¶v †ewk _v‡K| G cwieZ©b¸‡jv Rjevhy I AvenvIqvi Kvi‡bB n‡q _v‡K|
        C` ev c~Rvi mgq wewfbœ wRwb‡mi Pvwn`v e„w× cvq e‡j `vg I e„w× cvq| gvN-dvêyb gv‡m weevn Abyôvb †ewk nq e‡j H mgq D³ Abyôv‡b e¨eüZ wRwbm c‡Îi Pvwn`v Ges `vg e„w× cvq| G RvZxq cwieZ©b mvgvwRK AvPvi ev ixwZ bxwZi Kvi‡b N‡U _v‡K|
3       Pµ-µwgK n«vm-e„w× tÑ †Kvb †Kvb Kvjxb mvwii Pj‡Ki gvb ch©vq µ‡g n«vm-e„w× N‡U Ges cwieZ©‡bi GBaviv `xN©-mgq e¨vcx cwijw¶Z nq| Kvjxb mvwii †h Dcv`vb `xN©mgq e¨vcx ch©vqµ‡g A_P AwbqwgZ weiwZ‡Z n«vm-e„w× N‡U Zv‡K Pµ-µwgK n«vm-e„w× e‡j| Bnv‡K C Øviv cÖKvk Kiv nq|
       Gi ch©qKvj mvavibZ : GK erm‡ii AwaK nq| e¨emv-evwbR¨ I K…wl‡¶‡Î A_©vr A_©‰bwZK Kg©Kv‡Û Pµ-µwgK n«vm-e„w× cwijw¶Z nq| G PµKv‡ji wbw`©ó †Kvb mxgv †bB| mvavibZ : 3 ermi n‡Z 8/10 erm‡ii g‡a¨ GKwU PµKvj n‡Z cv‡i| G PµKvj wewfbœ †`‡ki Rb¨I wewfbœ iKg n‡Z cv‡i|
4.     AwbqwgZ †f` tÑ AvKw¯§K †Kvb Kvib Øviv Kvjxb mvwii cwieZ©b mvwaZ n‡j Zv‡K AwbqwgZ †f` e‡j| Gi †Kvb wbw`©ó ch©vq ev mgqKvj †bB| Pj‡Ki gv‡bi cwieZ©b GLv‡b nVvr K‡i N‡U _v‡K| †hgbÑ fywgK¤úb, eb¨v, So, ag©NU, ivR‰bwZK cU cwieZ©b, hy×-weMÖn cÖf„wZ Avgw¯§K Kvi‡b A_©‰bwZK Ges e¨emv-evwb‡R¨ nVvr cwieZ©b j¶¨ Kiv hvq| D‡j­wLZ kw³¸‡jvi Kvi‡b Kvjxb mvwii AvKw¯§K cwieZ©b nq e‡j G cwieZ©b‡K AwbqwgZ †f` ejv nq| Bnv‡K I Øviv cÖKvk Kiv nq|
cÖkœ tÑ 2 Kvjxb mvwii Dcv`vb mg~‡ni ga¨Kvi m¤úK©wU †jL|
A_ev, Kvjxb mvwii †hvMwewa I ¸bb wewa e¨vL¨v Ki|
A_ev, Kvjxb mvwii ( MvwbwZK) g‡Wj/ cÖwZK…wZ mg~n Av‡jvPbv Ki|
DËi tÑ Kvjxb mvwii Dcv`vbmg~‡ni g‡a¨ m¤úK© tÑ Kvjxbmvwi we‡k­l‡b Kvjxb mvwii wewfbœ Dcv`v‡bi g‡a¨ GKwU m¤úK© we`¨gvb _v‡K| m¤úK©¸‡jv mvavibZ : `yB cÖKvi| h_vÑ
1)      †hvRbkxj m¤úK© ev †hvM wewa
2)      ¸bbkxj m¤úK© ev ¸bb wewa|
‡hvRbkxj m¤úK© tÑ †Kvb †Kvb cwimsL¨vbwe` g‡b K‡ib †h, Kvjxbmvwii †h‡Kvb gvb Gi PviwU Dcv`v‡bi cÖfve-mg~‡ni †hvMd‡ji mgvb| A_©vr hw` †Kvb Kvjxb mvwii  mg‡qi gvb nq, Zvn‡j †hvRbkxj m¤úK© Abyhvqx Kvjxbmvwii Dcv`vb¸‡jvi m¤úK© njÑ
           †hLv‡b,  mvavib aviv ev `xN©Kvjxb cÖebZv|
                    FZzMZ †f`|
                    Pµ-µwgK n«vm-e„w×|
                    AwbqwgZ †f`|
¸bbkxj m¤úK© tÑ †Kvb †Kvb cwimsL¨vbwe` g‡bK‡ib †h, Kvjxb mvwii †h †Kvb gvb Gi PviwU Dcv`v‡bi cÖfve mg~‡ni ¸bd‡ji mgvb| A_©vr hw`  †Kvb Kvjxbmvwii  mg‡qi gvb nq, Zvn‡j ¸bbbkxj m¤úK© Abyhvqx Kvjxbmvwii Dcv`vb¸‡jvi m¤úK© njÑ
cÖkœ t 3 Kvjxb mvwii eûj cÖwZK…wZ †KvbwU ?
DËi tÑ e¨emv-evwbR¨ I A_©‰bwZK †¶‡Î Kvjxb mvwii Dcv`vb ¸‡jvi g‡a¨ Mybbkxj m¤úK© a‡i we‡k­lb Kiv nq| ZvB Kvjxb mvwii Dcv`vb¸‡jvi ¸bbkxj g‡Wj ev cÖwZK„wZB eûjfv‡e e¨eüZ nq|
cÖkœ tÑ 4 mvavib aviv ej‡Z wK eyS ?
DËi tÑ mvavib aviv/ `xN©Kvjxb cÖebZv tÑ `xN©mgq a‡i msM„nxZ Kvjxb mvwi‡Z Z_¨gvb mg~‡ni  µgn«vm ev µge„w× ev w¯’wZkxj Ae¯’vi cÖebZv j¶¨ Kiv hvq| Kvjxb mvwi‡Z Pj‡Ki GB `xN© †gqvw` mvavib n«vm ev e„w× ev w¯’wZkxjZvi cÖebZv ev ˆewkô¨‡K `xN©Kvjxb cÖebZv ev mvavib aviv ejv nq|
cÖkœ tÑ 5 Kvjxb mvwii mvavib aviv ev `xN©Kvjxb cÖebZv wbb©‡qi wewfbœ c×wZ¸‡jv eb©bv Ki|
DËi tÑ mvavib aviv/ `xN©Kvjxb cÖebZv mvavibZ t PviwU c×wZ‡Z cwigvc Kiv hvq| h_vÑ
  1. gy³ n¯— ev ‰jwLK c×wZ
  2. AvavMo c×wZ
  3. Pjgvb ev MwZkxj ev Pwjòz Mo c×wZ
  4. b~b¨Zg evM© c×wZ|
gy³n¯— ev ‰jwLK c×wZ tÑ GB c×wZ‡Z cÖ_‡g MÖvd ev QK KvM‡R Kvjxb mvwii Z_¨vejxi mgq‡K  A‡¶ we›`y AvKv‡i ¯’vcb Kiv nq| AZ:ci we›`y¸‡jv †K Aej¤^b K‡i gy³ n‡¯— GKwU eµ ev mij‡iLv AsKb Kiv nq| GB †iLvi MwZB Kvjxb mvwii `xN©Kvjxb cÖebZv ev mvavib aviv wb‡`©k K‡i|
AavMo c×wZ tÑ GB c×wZ‡Z cÖ_gZ Kvjxb mvwii Z_¨ewj mgvb `yfv‡M fvM Kiv nq| we‡Rvo msL¨K Z_¨gvb _vK‡j ga¨gvbwU ev` w`‡q mgvb `yfv‡M fvM Ki‡Z nq| `yfvM Kivi ci cÖ‡Z¨K fv‡Mi Z_¨gv‡bi Mo wbb©q  Kiv nq| AZ:ci cÖ‡Z¨K As‡ki mg‡qi ga¨we›`y eivei Mo we›`yØq QK KvM‡R ¯’vcb Kiv nq| GLb GB we›`y `ywU ms‡hvM K‡i †h †iLv cvIqv hvq ZvB Kvjxb mvwii cÖebZv wb‡`©k K‡i|
        cÖ‡qvRb †ev‡a cÖebZv †iLvwU Dfq w`‡K ewa©Z K‡i Kvjxbmvwii c~‡e©i †Kvb gvb wbiƒcb Kiv hvq| A_ev fwelr†Zi †Kvb gv‡bi c~e©vfvm †`Iqv hvq|
myweav tÑ
  1. GB c×wZ mnR‡eva¨ Ges AwZmn‡R AsKb Kiv hvq|
  2. GB c×wZ‡Z Kvjxb mvwii Rb¨ AswKZ †iLv e¨w³i wfbœZvq GKB _v‡K|
  3. Kvjxb mvwii Z_¨ mij ˆiLK n‡j GB c×wZ‡Z wbf©i‡hvM¨ cwigvc cvIqv hvq|
Amyweav tÑ
  1. Kvjxb mvwii Z_¨ mij ‰iwLK bv n‡j GB c×wZ‡Z mvavib avivi mwVK cwigvc m¤¢e bq|
  2. GB c×wZ‡Z MvwbwZK Mo e¨envi Kiv nq, d‡j cÖvß djvdj cÖvš—xq gvb Øviv cÖfvweZ nq|
  3. GB c×wZ‡Z cÖvß djvd‡ji Dci Pµ-µwgK n«vm e„w×i cÖfve _vKvi m¤¢vebv _v‡K|
Pjgvb ev MwZkxj ev Pwjòz Mo c×wZ tÑ GB  c×wZ‡Z KZ eQi ev mg‡qi Rb¨ Giƒc Mo wbb©q Kiv n‡e Zv wba©vib Ki‡Z nq| awi, 5 eQi e¨vcx Pjgvb Mo wbb©q Ki‡Z n‡e| G‡¶‡Î Kvjxb mvwii Z_¨vejx n‡Z 1g 5wU gvb †hvM K‡i 5 w`‡q fvM K‡i †h Mogvb cvIqv hvq Zv ga¨eZ©x mgq A_©vr 3q eQi eivei ¯’vcb Kiv nq| GLb 1g Z_¨gvb ev` w`‡q cieZ©x 5wU Z_¨gvb A_©r 2q gvb n‡Z 6ô gvb ch©š— †hvM K‡i 5 w`‡q fvM K‡i 2q Mo gvb PZz_© eQi eivei wjL‡Z nq| Giƒc ch©qµ‡g Dc‡ii w`K n‡Z GK GKwU gvb ev` w`‡q cieZ©x 5wU gvb‡i Mo wbb©q Ki‡Z n‡e †h ch©š— Z_¨gvb †kl bv nq|
        Abyiƒcfv‡e, 2,3,4,.......... BZ¨w` eQi wfwËK Pjgvb Mo wbb©‡qi Rb¨ D‡j­wLZ c×wZ Aej¤^b Kiv hvq|
         wKš‘ †Rvo msL¨v wfwËK eQj n‡j ga¨¯’vb eivei †Kvb eQi _v‡Kbv| †hgbÑ 4eQi wfwËK Pjgvb Mo wbb©q Ki‡j ga¨eZ©x †Kvb eQi cvIqv hvq bv| ZvB 1g cÖvß Mo 2q I 3q eQ‡ii gvSvgvwS emv‡Z n‡e| Gfv‡e 2q Mo, 3q I 4_© eQ‡ii gvSvgvwS emv‡Z n‡e| Gfv‡e cieZ©x meMo‡KB `ywU eQ‡ii gvSvgvwS emv‡Z n‡e| Gfv‡e cÖvß Mo¸‡jv †h‡nZz †Kvb PQj eivei Ae¯’vb K‡ibv| ZvB cÖ_‡g cÖvß Mo gvb¸‡jvi `ywU `ywU K‡i Avevi Pjgvb Mo wbb©q Ki‡Z nq| 2q `dv Mo wbb©q K‡i M‡oi 1g gvb †K 3q eQi eivei, 2q gvb‡K 4_© eQi eivei, 3q gvb‡K 5g eQi eivei Ges Gfv‡e me Mo‡K eQi ¸‡jvi wecix‡Z emv‡Z n‡e|
         Gfv‡e cÖvß Pjgvb Mo ¸‡jv Zv‡`i mgq eivei QK KvM‡R ¯’vcb K‡i †h we›`y¸‡jv cvIqv hvq Zv †iLv Øviv mshy³ K‡i cÖ‡qvRbxq cÖebZv †iLv cvIqv hvq|
myweav tÑ
  1. GB c×wZwU AwaKZi mnR‡eva¨ Ges MvwbwZK RwUjZv †bB|
  2. GB c×wZ‡Z AwZwi³ Z‡_¨i ms‡hvRb Kiv n‡j Mbbv Kv‡h©i †Zgb †Kvb Amyweav nqbv|
  3. GB c×wZ‡Z mgq Kvj mwVK n‡j Pµ-µwgK n«vm-e„w× I FZzMZ †f` m¤ú~b© `~i n‡q hvq|
Amyweav tÑ
  1. GB c×wZ‡Z Kvjxb mvwii cÖ`Ë mKj eQ‡ii Rb¨ Pjgvb Mo wbb©q Kiv hvq bv|
  2. Kvjxb mvwii Z_¨vejx‡Z mij ˆiwLK m¤úK© bv _vK‡j GB c×wZ SuzwK c~b©|
  3. GB c×wZi mgqKvj wba©vib Kiv A‡c¶vK„Z RwUj|
  4. GB c×wZ cwieZ©bkxjZvi †Kvb m~Î †g‡b P‡jbv, d‡j Bnv Øviv Kvjxb mvwi m¤ú‡K© c~e©vfvm †`Iqv hvq bv|
b~b¨Zg eM© c×wZ tÑ b~b¨Zg eM©c×wZ‡Z †Kvb Z_¨mvwii ch©‡ew¶Z gvb I cÖZ¨vwkZ gv‡bi wePy¨wZi e‡M©i mgwó b~b¨Zg ch©v‡q _v‡K|Kvjxb mvwi‡K QK KvM‡R Dc¯’vc‡bi ci cÖvß †iLvi cÖK…wZ we‡ePbv K‡i b~¨bZg eM©c×wZ‡Z `xN©Kvjxb cÖebZv ev mvavib aviv wbb©q Kiv nq|
awi, `xN©Kvjxb MwZ‡iLv GKwU mij †iLv hvi mgxKib nj,
‡hLv‡b,  n‡jv ¯^vaxb PjK,  n‡jv, Aaxb PjK Ges  I  n‡jv `ywU aª“eK|
GLb, †h‡Kvb mgq  Gi Rb¨ ch©‡ew¶Z gvb  n‡j  Ges  Gi g‡a¨ wePz¨wZ n‡e|
      
    
    
GLb,  I  Gi gvb Ggb fv‡e wbiƒcb Ki‡Z n‡e †hb,  Gigvb b~¨bZg eM©c×wZ e¨envi K‡i Avgiv cvB|
 Ges
cÖ`Ë Kvwjb mvwii Z_¨ e¨envi K‡i  Ges  Gi gvb wbb©q K‡i  bs mgxKi‡b emv‡j `xN©Kvjxb MwZi mgxKib cvIqv hv‡e| cÖvß mgxKi‡b cÖwZwU  Gi gvb ewm‡q GKwU K‡i  Gi gvb cvIqv hv‡e Ges GB gvb¸‡jv QK KvM‡R ¯’vcb Ki‡j `xN©Kvjxb MwZ‡iLv ev mvavib aviv †iLv cvIqv hv‡e|
       Mbbvi myweav‡_© mg‡qi ga¨we›`y‡K g~j K‡i Avgiv cvB,  ; myZivs  Ges  wbb©‡qi m~Î n‡e,  Ges
myweav tÑ
1.      GB c×wZ‡Z Kvjxb mvwi‡Z cÖ`Ë mKj mg‡qi Rb¨ mvavib avivi gvb wbb©q Kiv m¤¢e|
2.      MvwbwZK wfwË _vKvi Kvi‡b c×wZwU eûj cÖPwjZ|
3.      cÖvß mvavib avivi mgxKib e¨envi K‡i fwel¨Z cÖebZv m¤ú‡K© wbf©i‡hvM¨ c~e©vfvm †`Iqv hvq|
Amyweav tÑ
1.      Ab¨vb¨ c×wZ A‡c¶ Mbbv Kvh© A‡c¶vK…Z RwUj|
2.      GB c×wZ‡Z AwZwi³ Z‡_¨i ms‡hvRb ev we‡qvRb Kiv n‡j Avevi bZzb K‡i Mbbv Kvh© m¤úbœ Ki‡Z nq|
3.      GB c×wZ‡Z c~e©vfvm cÖ`v‡bi †¶‡Î Kvjxb mvwii Ab¨vb¨ Dcv`vb¸‡jvi cÖfve D‡c¶v Kiv nq|
cÖkœ tÑ 6 Kvjxb mvwii e¨envi ev ¸i“Z¡ Av‡jvPbv Ki|
DËi tÑ e¨emvwqK Kg©Kv‡Ûi cÖvq cÖwZwU ‡¶‡ÎB Kvjxb mvwi e¨envi Kiv nq| A_©bxwZ , e¨emv, ivóª cwiPvjbv, Ges cwiKíbv, weÁvb, †R¨wZwe©`¨v, mgvRweÁvb, Dw™¢`we`¨, M‡elbv Kvh© BZ¨vw` ‡¶‡Î Kvjxb mvwi Lye ¸i“Z¡c~b©|
wb‡¤§v³ †¶Îmg~‡n Kvjxbmvwii e¨vcK e¨envi j¶¨ Kiv hvq|
  1. GKwU †`‡ki eZ©gvb Ae¯’v we‡k­lb K‡i fwel¨r RvZxq A_©‰bwZK cwiKíbv cÖbq‡b Bnvi e¨envi LyeB Zvrch©c~b©|
  2. Kvjxb mvwi we‡k­lb cÖwµqv‡K mgvR weÁv‡bi †¶‡ÎI e¨envi Kiv hvq|
  3. wkíKviLvbvi gvwjKMb Kvjxb mvwii we‡k­lb Øviv wk‡íi Drcv`b , weµq, Avq, Avg`vwb wKsev ißvbx BZ¨vw`‡Z KLb wK cwieZ©b n‡Z cv‡i †m m¤ú‡K© my®úó avibv jvf Ki‡Z cv‡i|
  4. AZxZ Kg©KvÛ we‡k­lb K‡i fwel¨r Kg©cwiKíbv MÖn‡b Kvjxb mvwi e¨cKfv‡e e¨envi Kiv nq|
  5. A_©bxwZ Ges e¨emvwqK Kg©Kv‡Ûi †h‡Kvb †¶‡Î AMÖMwZ Kvjxb mvwi we‡k­l‡bi gva¨‡g g~j¨vqb Kiv m¤¢e|
  6. FZzMZ cwieZ©b I Pµ-µwgK n«vm-e„w× †R‡b Myi“Z¡c~b© wm×vš— MÖn‡b mnvqZv Ki‡Z Kvjxb mvwi e¨eüZ nq|
  7. RvZxq ch©v‡q ivóªxq Kvh© cwiPvjbvq ¸i“Z¡c~b© cwiKíbv cÖbq‡b Kvjxb mvwi we‡k­l‡bi fywgKv Ab¯^xKvh©|
cÖkœ tÑ 7 Kvjxb mvwi we‡k­lb wK ? Kvjxb mvwi we‡k­lb Gi D‡Ïk¨ wjL|
DËitÑ Kvjxb mvwi we‡k­lb tÑ  Kvjxb mvwi we‡k­lb ej‡Z Dnvi Dcv`vb¸wji AbymÜvb , cwigvc I c„_KxKi‡bi gva¨‡g Z_¨gvb‡K Dnv‡`i cÖfvegy³ Kiv eySvq| Kvjxb mvwii Pj‡Ki gvb Dnvi PviwU Dcv`vb Øviv cÖfvweZ nq| GB Dcv`vb¸wj wbb©q I `~ixKib‡KB Kvjxbmvwi we‡k­lb e‡j|
Kvjxb mvwi we‡k­l‡bi D‡Ïk¨ tÑ
  1. †h Kvib ev Dcv`v‡bi Øviv Kvjxb mvwii Z_¨gvb¸‡jv cÖfvweZ nq †m¸‡jv wPwýZK‡i Zv‡`i cÖfve cwigvc Kivi Rb¨ Kvjxb mvwi we‡k­lb Kiv nq|
  2. Kvjxb mvwii Z_¨gv‡bi Ab¨vb¨ mewKQz wVK †i‡L H Kvib ev Dcv`vb¸‡jvi cÖfve G‡K G‡K Ab‡c¶fv‡e eR©b K‡i Dcv`vb¸‡jv m¤ú‡K© c~e©vfvm †`qvI Kvjxb mvwi we‡k­l‡bi Ab¨Zg D‡Ïk¨|
         GQvov A_©bxwZ, e¨emv-evwbR¨, cÖK…wZK ev mvgvwRK weÁv‡bi wewfbœ w`K e¨vL¨v Ki‡ZI Kvjxb mvwi we‡k­lb Kiv  nq|

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dwKinvU,ev‡MinvU
‡gvet 01714-847436|


 
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