A varying coefficient approach to estimating hedonic housing price functions and their quantiles

References

• P. Anglin and R. Gencay, Semiparametric estimation of a hedonic price function, J. Appl. Econometr. 11 (1996), pp. 633–648. doi: 10.1002/(SICI)1099-1255(199611)11:6<633::AID-JAE414>3.0.CO;2-T
   Web of Science ®Google Scholar
• H.X.H. Bao and A.T.K. Wan, On the use of spline smoothing in estimating hedonic housing price models: Empirical evidence using Hong Kong data, Real Estate Econ. 32 (2004), pp. 487–507. doi: 10.1111/j.1080-8620.2004.00100.x
   Web of Science ®Google Scholar
• H.X.H. Bao and A.T.K. Wan, Improved estimators of hedonic housing price models, J. Real Estate Res. 29 (2007), pp. 267–302.
   Web of Science ®Google Scholar
• G.W. Bucchianeri, Has SARS infected the property market? Evidence from Hong Kong, J. Urban Econ. 63 (2008), pp. 74–95. doi: 10.1016/j.jue.2006.12.007
   Web of Science ®Google Scholar
• Z. Cai, Trending time-varying coefficient time series models with serially correlated errors, J. Econometr. 136 (2007), pp. 163–188. doi: 10.1016/j.jeconom.2005.08.004
   Web of Science ®Google Scholar
• Z. Cai, J. Fan, and Q. Yao, Functional-coefficient regression models for nonlinear time series, J. Amer. Statist. Assoc. 95 (2000), pp. 941–956. doi: 10.1080/01621459.2000.10474284
   Web of Science ®Google Scholar
• Z. Cai and X. Xu, Nonparametric quantile estimations for dynamic smooth coefficient models, J. Amer. Statist. Assoc. 103 (2009), pp. 1595–1608. doi: 10.1198/016214508000000977
   Web of Science ®Google Scholar
• C. Camlong-Viot, J. Rodriguez-Poo, and P. Vieu, Nonparametric and semiparametric estimation of additive models with both discrete and continuous variables under dependence, in The Art of Semiparametrics, S. Sperlich, W. Hardle, and G. Aydinli, eds. Physica-Verlag, Heidelberg, 2006, pp. 155–178.
   Google Scholar
• A. Can, The measurement of neighborhood dynamics in urban house prices, Econ. Geography 66 (1990), pp. 254–272. doi: 10.2307/143400
   Web of Science ®Google Scholar
• A. Can, Specification and estimation of hedonic housing price models, Reg. Sci. Urban Econ. 22 (1992), pp. 453–474. doi: 10.1016/0166-0462(92)90039-4
   Web of Science ®Google Scholar
• J.M. Clapp, H. -J. Kim, and A.E. Gelfand, Predicting spatial patterns of house prices using LPR and Bayesian smoothing, Real Estate Econ. 30 (2002), pp. 505–532. doi: 10.1111/1540-6229.00048
   Web of Science ®Google Scholar
• F.X. Diebold and R.S. Mariano, Comparing predictive accuracy, J. Bus. Econ. Stat. 13 (1995), pp. 134–144.
   Web of Science ®Google Scholar
• R.A. Dubin, Spatial autocorrelation and neighborhood quality, Reg. Sci. Urban Econ. 22 (1992), pp. 433–452. doi: 10.1016/0166-0462(92)90038-3
   Web of Science ®Google Scholar
• R.A. Dubin, Spatial autocorrelation: A primer, J. Hous. Econ. 7 (1998), pp. 304–327. doi: 10.1006/jhec.1998.0236
   Web of Science ®Google Scholar
• J. Fan, Local linear regression smoothers and their minimax efficiencies, Ann. Stat. 21 (1993), pp. 196–216. doi: 10.1214/aos/1176349022
   Web of Science ®Google Scholar
• J. Fan and I. Gijbels, Local Polynomial Modeling and Its Applications, Chapman and Hall, London, 1996.
   Google Scholar
• J. Fan, W. Härdle, and E. Mammen, Direct estimation of low-dimensional components in additive models, Ann. Stat. 26 (1998), pp. 943–971. doi: 10.1214/aos/1024691083
   Web of Science ®Google Scholar
• J. Fan and R. Li, New estimation and model selection procedures for semiparametric modeling in longitudinal data analysis, J. Amer. Statist. Assoc. 99 (2004), pp. 710–723. doi: 10.1198/016214504000001060
   Web of Science ®Google Scholar
• J. Fan, H. Lin, and Y. Zhou, Local partial-likelihood estimation for lifetime data, Ann. Stat. 34 (2006), pp. 290–325. doi: 10.1214/009053605000000796
   Web of Science ®Google Scholar
• J. Fan and W. Zhang, Simultaneous confidence bands and hypothesis testing in varying-coefficient models, Scand. J. Stat. 27 (2000), pp. 715–731. doi: 10.1111/1467-9469.00218
   Web of Science ®Google Scholar
• J. Fan and W. Zhang, Statistical methods with varying coefficient models, Stat. Interface 1 (2008), pp. 179–195. doi: 10.4310/SII.2008.v1.n1.a15
   PubMed Web of Science ®Google Scholar
• O.W. Gilley and R.K. Pace, Improving hedonic estimation with an inequality restricted estimator, Rev. Econ. Stat. 77 (1995), pp. 609–621. doi: 10.2307/2109810
   Web of Science ®Google Scholar
• A.C. Goodman, Hedonic prices, price indices and housing markets, J. Urban Econ. 5 (1978), pp. 471–484. doi: 10.1016/0094-1190(78)90004-9
   Web of Science ®Google Scholar
• R. Halvorsen and H.O. Pollakowski, Choice of functional form for hedonic price equations, J. Urban Econ. 10 (1981), pp. 37–49. doi: 10.1016/0094-1190(81)90021-8
   Web of Science ®Google Scholar
• T.J. Hastie and R.J Tibshirani, Generalized Additive Models, Chapman and Hall, New York, 1990.
   Google Scholar
• T. Hastie and R. Tibshirani, Varying-coefficient models, J. R. Statist. Soc. (Ser. B) 55 (1993), pp. 757–796.
   Web of Science ®Google Scholar
• D.J. Henderson and C.F Parmeter, Applied Nonparametric Econometrics, Cambridge University Press, New York, 2015.
   Google Scholar
• T. Honda, Quantile regression in varying coefficient models, J. Statist. Plan. Inference 121 (2004), pp. 113–125. doi: 10.1016/S0378-3758(03)00110-1
   Web of Science ®Google Scholar
• J.F. Kain and J.M. Quigley, Measuring the value of housing quality, J. Amer. Statist. Assoc. 65 (1970), pp. 532–548. doi: 10.1080/01621459.1970.10481102
   Web of Science ®Google Scholar
• M. -O. Kim, Quantile regression with varying coefficients, Ann. Stat. 35 (2007), pp. 92–108. doi: 10.1214/009053606000000966
   Web of Science ®Google Scholar
• H. -G. Kim, K. -C. Hung, and S.Y. Park, Determinants of housing prices in Hong Kong: A Box–Cox quantile regression approach, J. Real Estate Financ. Econ. 50 (2015), pp. 270–287. doi: 10.1007/s11146-014-9456-1
   Web of Science ®Google Scholar
• J.R. Knight, J. Dombrow, and C.F. Sirmans, A varying parameters approach to constructing house price indexes, Real Estate Econ. 23 (1995), pp. 187–205. doi: 10.1111/1540-6229.00663
   Web of Science ®Google Scholar
• K.J. Lancaster, A new approach to consumer theory, J. Political Econ. 74 (1966), pp. 132–157. doi: 10.1086/259131
   Web of Science ®Google Scholar
• T.S. Leung, Effects of Building Orientation on the Residential Property, M.Sc diss., Department of Real Estate and Construction, University of Hong Kong, 2010.
   Google Scholar
• B. Li, E.B. Martin, and A.J. Morris, Box–Tidwell transformation based partial least squares regression, Comput. Chem. Eng. 25 (2001), pp. 1219–1233. doi: 10.1016/S0098-1354(01)00696-2
   Web of Science ®Google Scholar
• Q. Li and J.S Racine, Nonparametric Econometrics: Theory and Practice, Princeton University Press, Princeton, NJ, 2007.
   Google Scholar
• W. -C. Liao and X. Wang, Hedonic house prices and spatial quantile regression, J. Hous. Econ. 21 (2012), pp. 16–27. doi: 10.1016/j.jhe.2011.11.001
   Web of Science ®Google Scholar
• H. Lütkepohl and F. Xu, The role of the log transformation in forecasting economic variables, Empir. Econ. 42 (2012), pp. 619–638. doi: 10.1007/s00181-010-0440-1
   Web of Science ®Google Scholar
• J.R. Magnus, A.T.K. Wan, and X. Zhang, Weighted average least squares estimation with nonspherical disturbances and an application to the Hong Kong housing market, Comput. Stat. Data Anal. 55 (2011), pp. 1331–1341. doi: 10.1016/j.csda.2010.09.023
   Web of Science ®Google Scholar
• S. Mak, L. Choy, and W. Ho, Quantile regression estimates of Hong Kong real estate prices, Urban Stud. 47 (2010), pp. 2461–2472. doi: 10.1177/0042098009359032
   Web of Science ®Google Scholar
• C. Martins-Filho and O. Bin, Estimation of hedonic price functions via additive nonparametric regression, Empir. Econ. 30 (2005), pp. 93–114. doi: 10.1007/s00181-004-0224-6
   Web of Science ®Google Scholar
• C. Mason and J.M. Quigley, Non-parametric hedonic housing prices, Housing Studies 11 (1996), pp. 373–385. doi: 10.1080/02673039608720863
   Web of Science ®Google Scholar
• D.P. McMillen, Issues in spatial data analysis, J. Reg. Sci. 50 (2010), pp. 119–141. doi: 10.1111/j.1467-9787.2009.00656.x
   Web of Science ®Google Scholar
• D.P. McMillen and P. Thorsnes, The reaction of housing prices to information on superfund sites: A semiparametric analysis of the Tacoma, Washington market, Adv. Econometr. 14 (2000), pp. 201–228.
   Google Scholar
• R. Messe and N. Wallace, Nonparametric estimation of dynamic hedonic price models and the construction of residential housing price indices, AREUEA J. 19 (1991), pp. 308–332. doi: 10.1111/1540-6229.00555
   Google Scholar
• R.K. Pace, Nonparametric methods with applications to hedonic models, J. Real Estate Financ. Econ. 7 (1993), pp. 185–204. doi: 10.1007/BF01096965
   Web of Science ®Google Scholar
• R.K. Pace, Parametric, semiparametric, and nonparametric estimation of characteristic values within mass assessment and hedonic pricing models, J. Real Estate Financ. Econ. 11 (1995), pp. 195–217. doi: 10.1007/BF01099108
   Web of Science ®Google Scholar
• R.K. Pace, R. Barry, and C.F. Sirmans, Spatial statistics and real estate, J. Real Estate Financ. Econ. 17 (1998), pp. 5–13. doi: 10.1023/A:1007783811760
   Web of Science ®Google Scholar
• A.R. Pagan and A Ullah, Nonparametric Econometrics, Cambridge University Press, New York, 1999.
   Google Scholar
• B.U. Park, E. Mammen, Y.K. Lee, and E.R. Lee, Varying coefficient regression models: A review and new developments, Int. Statist. Rev. 83 (2015), pp. 36–64. doi: 10.1111/insr.12029
   Web of Science ®Google Scholar
• C.F. Parmeter, D. J. Henderson, and S.C. Kumbhakar, Nonparametric estimation of a hedonic price function, J. Appl. Econometr. 22 (2007), pp. 695–699. doi: 10.1002/jae.929
   Web of Science ®Google Scholar
• A.D. Pavlov, Space-varying regression coefficients: A semi-parametric approach applied to real estate markets, Real Estate Econ. 28 (2000), pp. 249–283. doi: 10.1111/1540-6229.00801
   Web of Science ®Google Scholar
• J.S. Racine and Q. Li, Nonparametric estimation of regression functions with both categorical and continuous data, J. Econometr. 119 (2004), pp. 99–130. doi: 10.1016/S0304-4076(03)00157-X
   Web of Science ®Google Scholar
• S. Rosen, Hedonic prices and implicit markets: Product differentiation in pure competition, J. Political Econ. 82 (1974), pp. 34–55. doi: 10.1086/260169
   Web of Science ®Google Scholar
• D. Ruppert and M.P. Wand, Multivariate locally weighed least squares regression, Ann. Stat. 22 (1994), pp. 1346–1370. doi: 10.1214/aos/1176325632
   Web of Science ®Google Scholar
• P. Speckman, Kernel smoothing in partial linear models, J. R. Statist. Soc. (Ser. B) 50 (1988), pp. 413–436.
   Web of Science ®Google Scholar
• C.J. Stone, The dimensionality reduction principle for generalized additive models, Ann. Stat. 14 (1986), pp. 590–606. doi: 10.1214/aos/1176349940
   Web of Science ®Google Scholar
• D.L. Sunding and A.M. Swoboda, Hedonic analysis with locally weighted regression: An application to the shadow cost of housing regulation in Southern California, Reg. Sci. Urban Econ. 40 (2010), pp. 550–573. doi: 10.1016/j.regsciurbeco.2010.07.002
   Web of Science ®Google Scholar
• Y. Wang, D. Potoglou, S. Orford, and Y. Gong, Bus stop, property price and land value tax: A multilevel hedonic analysis with quantile calibration, Land Use Policy 42 (2015), pp. 381–391. doi: 10.1016/j.landusepol.2014.07.017
   Web of Science ®Google Scholar
• D.C. Wheeler, A. Páez, J. Spinney, and L.A. Waller, A Bayesian approach to hedonic price analysis, Pap. Reg. Sci. 93 (2014), pp. 663–683. doi: 10.1111/pirs.12003
   Web of Science ®Google Scholar
• A.D. Witte, H.J. Sumba, and H. Erekson, An estimate of a structural hedonic price model of the housing market: An application of Rosen's theory of implicit markets, Econometrica 47 (1979), pp. 1151–1173. doi: 10.2307/1911956
   Web of Science ®Google Scholar
• S. Xie, Y. Zhou, and A.T.K. Wan, A varying-coefficient expectile model for estimating Value at Risk, J. Bus. Econ. Stat. 32 (2014), pp. 576–592. doi: 10.1080/07350015.2014.917979
   Web of Science ®Google Scholar
• A Yatchew, Semiparametric Regression for the Applied Econometrician, Cambridge University Press, New York, 2003.
   Google Scholar
• W. Zhang, S.-Y. Lee, and X. Song, Local polynomial fitting in semivarying coefficient model, J. Multivariate Anal. 82 (2002), pp. 166–188. doi: 10.1006/jmva.2001.2012
   Web of Science ®Google Scholar
• J. Zietz, E.N. Zietz, and C.F. Sirmans, Determinants of house prices: A quantile regression approach, J. Real Estate Financ. Econ. 37 (2008), pp. 317–333. doi: 10.1007/s11146-007-9053-7
   Web of Science ®Google Scholar